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Finding the Fourth Proportional to 10,231.71, 15,322.95 and 6,934.80

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Solution

The fourth proportional to 10,231.71, 15,322.95 and 6,934.80 is: 10,385.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,231.71 : 15,322.95 = 6,934.80 : x
  2. Step 2: Convert to fraction form
    10,231.71/15,322.95 = 6,934.80/x
  3. Step 3: Cross multiply
    10,231.71x = 15,322.95 × 6,934.80
  4. Step 4: Simplify right side
    10,231.71x = 106,261,593.66
  5. Step 5: Solve for x
    x = 106,261,593.66/10,231.71
  6. Step 6: Final answer
    x = 10,385.52

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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.