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Finding the Fourth Proportional to 10,490.60, 14,470.62 and 8,248.88

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Solution

The fourth proportional to 10,490.60, 14,470.62 and 8,248.88 is: 11,378.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.60 : 14,470.62 = 8,248.88 : x
  2. Step 2: Convert to fraction form
    10,490.60/14,470.62 = 8,248.88/x
  3. Step 3: Cross multiply
    10,490.60x = 14,470.62 × 8,248.88
  4. Step 4: Simplify right side
    10,490.60x = 119,366,407.91
  5. Step 5: Solve for x
    x = 119,366,407.91/10,490.60
  6. Step 6: Final answer
    x = 11,378.42

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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.