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Finding the Fourth Proportional to 7,501, 10,351.74 and 4,144.30

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Solution

The fourth proportional to 7,501, 10,351.74 and 4,144.30 is: 5,719.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,501 : 10,351.74 = 4,144.30 : x
  2. Step 2: Convert to fraction form
    7,501/10,351.74 = 4,144.30/x
  3. Step 3: Cross multiply
    7,501x = 10,351.74 × 4,144.30
  4. Step 4: Simplify right side
    7,501x = 42,900,716.08
  5. Step 5: Solve for x
    x = 42,900,716.08/7,501
  6. Step 6: Final answer
    x = 5,719.33

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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.