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Finding the Fourth Proportional to 28,007.84, 42,019.95 and 8,286.90

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Solution

The fourth proportional to 28,007.84, 42,019.95 and 8,286.90 is: 12,432.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,007.84 : 42,019.95 = 8,286.90 : x
  2. Step 2: Convert to fraction form
    28,007.84/42,019.95 = 8,286.90/x
  3. Step 3: Cross multiply
    28,007.84x = 42,019.95 × 8,286.90
  4. Step 4: Simplify right side
    28,007.84x = 348,215,123.66
  5. Step 5: Solve for x
    x = 348,215,123.66/28,007.84
  6. Step 6: Final answer
    x = 12,432.78

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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.