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Finding the Fourth Proportional to 52,746, 72,790.28 and 28,874.89

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Solution

The fourth proportional to 52,746, 72,790.28 and 28,874.89 is: 39,847.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,746 : 72,790.28 = 28,874.89 : x
  2. Step 2: Convert to fraction form
    52,746/72,790.28 = 28,874.89/x
  3. Step 3: Cross multiply
    52,746x = 72,790.28 × 28,874.89
  4. Step 4: Simplify right side
    52,746x = 2,101,811,328.07
  5. Step 5: Solve for x
    x = 2,101,811,328.07/52,746
  6. Step 6: Final answer
    x = 39,847.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.