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Finding the Fourth Proportional to 7,351, 10,144.38 and 4,207.12

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Solution

The fourth proportional to 7,351, 10,144.38 and 4,207.12 is: 5,805.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,351 : 10,144.38 = 4,207.12 : x
  2. Step 2: Convert to fraction form
    7,351/10,144.38 = 4,207.12/x
  3. Step 3: Cross multiply
    7,351x = 10,144.38 × 4,207.12
  4. Step 4: Simplify right side
    7,351x = 42,678,623.99
  5. Step 5: Solve for x
    x = 42,678,623.99/7,351
  6. Step 6: Final answer
    x = 5,805.83

Related Problems

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Half scale
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Double scale
Find fourth proportional to 7,352, 10,145.76 and 4,208.12
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.