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Finding the Fourth Proportional to 10,507.70, 15,763.28 and 3,487.79

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Solution

The fourth proportional to 10,507.70, 15,763.28 and 3,487.79 is: 5,232.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,507.70 : 15,763.28 = 3,487.79 : x
  2. Step 2: Convert to fraction form
    10,507.70/15,763.28 = 3,487.79/x
  3. Step 3: Cross multiply
    10,507.70x = 15,763.28 × 3,487.79
  4. Step 4: Simplify right side
    10,507.70x = 54,978,914.10
  5. Step 5: Solve for x
    x = 54,978,914.10/10,507.70
  6. Step 6: Final answer
    x = 5,232.25

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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.