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Finding the Fourth Proportional to 10,605.60, 15,940.80 and 10,411.20

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Solution

The fourth proportional to 10,605.60, 15,940.80 and 10,411.20 is: 15,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.60 : 15,940.80 = 10,411.20 : x
  2. Step 2: Convert to fraction form
    10,605.60/15,940.80 = 10,411.20/x
  3. Step 3: Cross multiply
    10,605.60x = 15,940.80 × 10,411.20
  4. Step 4: Simplify right side
    10,605.60x = 165,962,856.96
  5. Step 5: Solve for x
    x = 165,962,856.96/10,605.60
  6. Step 6: Final answer
    x = 15,648.61

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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.