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Finding the Fourth Proportional to 28,494.97, 42,738.46 and 9,774.70

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Solution

The fourth proportional to 28,494.97, 42,738.46 and 9,774.70 is: 14,660.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,494.97 : 42,738.46 = 9,774.70 : x
  2. Step 2: Convert to fraction form
    28,494.97/42,738.46 = 9,774.70/x
  3. Step 3: Cross multiply
    28,494.97x = 42,738.46 × 9,774.70
  4. Step 4: Simplify right side
    28,494.97x = 417,755,624.96
  5. Step 5: Solve for x
    x = 417,755,624.96/28,494.97
  6. Step 6: Final answer
    x = 14,660.68

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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.