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Finding the Fourth Proportional to 10,869.60, 16,280.10 and 9,411.60

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Solution

The fourth proportional to 10,869.60, 16,280.10 and 9,411.60 is: 14,096.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,869.60 : 16,280.10 = 9,411.60 : x
  2. Step 2: Convert to fraction form
    10,869.60/16,280.10 = 9,411.60/x
  3. Step 3: Cross multiply
    10,869.60x = 16,280.10 × 9,411.60
  4. Step 4: Simplify right side
    10,869.60x = 153,221,789.16
  5. Step 5: Solve for x
    x = 153,221,789.16/10,869.60
  6. Step 6: Final answer
    x = 14,096.36

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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.