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Finding the Fourth Proportional to 28,514.68, 42,774.18 and 7,737.88

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Solution

The fourth proportional to 28,514.68, 42,774.18 and 7,737.88 is: 11,607.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,514.68 : 42,774.18 = 7,737.88 : x
  2. Step 2: Convert to fraction form
    28,514.68/42,774.18 = 7,737.88/x
  3. Step 3: Cross multiply
    28,514.68x = 42,774.18 × 7,737.88
  4. Step 4: Simplify right side
    28,514.68x = 330,981,471.94
  5. Step 5: Solve for x
    x = 330,981,471.94/28,514.68
  6. Step 6: Final answer
    x = 11,607.41

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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.