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Finding the Fourth Proportional to 28,489.84, 42,734.79 and 7,429.86

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Solution

The fourth proportional to 28,489.84, 42,734.79 and 7,429.86 is: 11,144.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,489.84 : 42,734.79 = 7,429.86 : x
  2. Step 2: Convert to fraction form
    28,489.84/42,734.79 = 7,429.86/x
  3. Step 3: Cross multiply
    28,489.84x = 42,734.79 × 7,429.86
  4. Step 4: Simplify right side
    28,489.84x = 317,513,506.83
  5. Step 5: Solve for x
    x = 317,513,506.83/28,489.84
  6. Step 6: Final answer
    x = 11,144.80

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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.