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Finding the Fourth Proportional to 52,712.92, 72,744.06 and 28,840

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Solution

The fourth proportional to 52,712.92, 72,744.06 and 28,840 is: 39,799.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,712.92 : 72,744.06 = 28,840 : x
  2. Step 2: Convert to fraction form
    52,712.92/72,744.06 = 28,840/x
  3. Step 3: Cross multiply
    52,712.92x = 72,744.06 × 28,840
  4. Step 4: Simplify right side
    52,712.92x = 2,097,938,690.40
  5. Step 5: Solve for x
    x = 2,097,938,690.40/52,712.92
  6. Step 6: Final answer
    x = 39,799.33

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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.