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Finding the Fourth Proportional to 10,438.32, 14,412 and 7,750.20

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Solution

The fourth proportional to 10,438.32, 14,412 and 7,750.20 is: 10,700.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,438.32 : 14,412 = 7,750.20 : x
  2. Step 2: Convert to fraction form
    10,438.32/14,412 = 7,750.20/x
  3. Step 3: Cross multiply
    10,438.32x = 14,412 × 7,750.20
  4. Step 4: Simplify right side
    10,438.32x = 111,695,882.40
  5. Step 5: Solve for x
    x = 111,695,882.40/10,438.32
  6. Step 6: Final answer
    x = 10,700.56

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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.