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Finding the Fourth Proportional to 10,129.80, 15,194.70 and 6,411.90

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Solution

The fourth proportional to 10,129.80, 15,194.70 and 6,411.90 is: 9,617.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.80 : 15,194.70 = 6,411.90 : x
  2. Step 2: Convert to fraction form
    10,129.80/15,194.70 = 6,411.90/x
  3. Step 3: Cross multiply
    10,129.80x = 15,194.70 × 6,411.90
  4. Step 4: Simplify right side
    10,129.80x = 97,426,896.93
  5. Step 5: Solve for x
    x = 97,426,896.93/10,129.80
  6. Step 6: Final answer
    x = 9,617.85

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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.