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Finding the Fourth Proportional to 28,630.84, 42,947.46 and 7,854.04

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Solution

The fourth proportional to 28,630.84, 42,947.46 and 7,854.04 is: 11,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,630.84 : 42,947.46 = 7,854.04 : x
  2. Step 2: Convert to fraction form
    28,630.84/42,947.46 = 7,854.04/x
  3. Step 3: Cross multiply
    28,630.84x = 42,947.46 × 7,854.04
  4. Step 4: Simplify right side
    28,630.84x = 337,311,068.74
  5. Step 5: Solve for x
    x = 337,311,068.74/28,630.84
  6. Step 6: Final answer
    x = 11,781.39

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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.