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Finding the Fourth Proportional to 52,821.70, 72,894.04 and 28,947.87

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Solution

The fourth proportional to 52,821.70, 72,894.04 and 28,947.87 is: 39,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,821.70 : 72,894.04 = 28,947.87 : x
  2. Step 2: Convert to fraction form
    52,821.70/72,894.04 = 28,947.87/x
  3. Step 3: Cross multiply
    52,821.70x = 72,894.04 × 28,947.87
  4. Step 4: Simplify right side
    52,821.70x = 2,110,127,121.33
  5. Step 5: Solve for x
    x = 2,110,127,121.33/52,821.70
  6. Step 6: Final answer
    x = 39,948.11

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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.