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Finding the Fourth Proportional to 15,578.54, 21,498.84 and 8,505.42

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Solution

The fourth proportional to 15,578.54, 21,498.84 and 8,505.42 is: 11,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,578.54 : 21,498.84 = 8,505.42 : x
  2. Step 2: Convert to fraction form
    15,578.54/21,498.84 = 8,505.42/x
  3. Step 3: Cross multiply
    15,578.54x = 21,498.84 × 8,505.42
  4. Step 4: Simplify right side
    15,578.54x = 182,856,663.71
  5. Step 5: Solve for x
    x = 182,856,663.71/15,578.54
  6. Step 6: Final answer
    x = 11,737.73

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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.