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Finding the Fourth Proportional to 10,634.88, 14,644.80 and 9,140.88

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Solution

The fourth proportional to 10,634.88, 14,644.80 and 9,140.88 is: 12,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.88 : 14,644.80 = 9,140.88 : x
  2. Step 2: Convert to fraction form
    10,634.88/14,644.80 = 9,140.88/x
  3. Step 3: Cross multiply
    10,634.88x = 14,644.80 × 9,140.88
  4. Step 4: Simplify right side
    10,634.88x = 133,866,359.42
  5. Step 5: Solve for x
    x = 133,866,359.42/10,634.88
  6. Step 6: Final answer
    x = 12,587.48

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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.