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Finding the Fourth Proportional to 7,210.74, 10,805.13 and 5,353.14

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Solution

The fourth proportional to 7,210.74, 10,805.13 and 5,353.14 is: 8,021.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,210.74 : 10,805.13 = 5,353.14 : x
  2. Step 2: Convert to fraction form
    7,210.74/10,805.13 = 5,353.14/x
  3. Step 3: Cross multiply
    7,210.74x = 10,805.13 × 5,353.14
  4. Step 4: Simplify right side
    7,210.74x = 57,841,373.61
  5. Step 5: Solve for x
    x = 57,841,373.61/7,210.74
  6. Step 6: Final answer
    x = 8,021.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.