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Finding the Fourth Proportional to 10,385.20, 15,577.80 and 10,142.20

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Solution

The fourth proportional to 10,385.20, 15,577.80 and 10,142.20 is: 15,213.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,385.20 : 15,577.80 = 10,142.20 : x
  2. Step 2: Convert to fraction form
    10,385.20/15,577.80 = 10,142.20/x
  3. Step 3: Cross multiply
    10,385.20x = 15,577.80 × 10,142.20
  4. Step 4: Simplify right side
    10,385.20x = 157,993,163.16
  5. Step 5: Solve for x
    x = 157,993,163.16/10,385.20
  6. Step 6: Final answer
    x = 15,213.30

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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.