Home / 10,414.40-14,399.52-9,102.20

Finding the Fourth Proportional to 10,414.40, 14,399.52 and 9,102.20

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Solution

The fourth proportional to 10,414.40, 14,399.52 and 9,102.20 is: 12,585.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,414.40 : 14,399.52 = 9,102.20 : x
  2. Step 2: Convert to fraction form
    10,414.40/14,399.52 = 9,102.20/x
  3. Step 3: Cross multiply
    10,414.40x = 14,399.52 × 9,102.20
  4. Step 4: Simplify right side
    10,414.40x = 131,067,310.94
  5. Step 5: Solve for x
    x = 131,067,310.94/10,414.40
  6. Step 6: Final answer
    x = 12,585.20

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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.