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Finding the Fourth Proportional to 52,425.80, 78,637.80 and 12,982.94

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Solution

The fourth proportional to 52,425.80, 78,637.80 and 12,982.94 is: 19,474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,425.80 : 78,637.80 = 12,982.94 : x
  2. Step 2: Convert to fraction form
    52,425.80/78,637.80 = 12,982.94/x
  3. Step 3: Cross multiply
    52,425.80x = 78,637.80 × 12,982.94
  4. Step 4: Simplify right side
    52,425.80x = 1,020,949,839.13
  5. Step 5: Solve for x
    x = 1,020,949,839.13/52,425.80
  6. Step 6: Final answer
    x = 19,474.19

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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.