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Finding the Fourth Proportional to 28,562, 42,870.70 and 13,781.30

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Solution

The fourth proportional to 28,562, 42,870.70 and 13,781.30 is: 20,685.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,562 : 42,870.70 = 13,781.30 : x
  2. Step 2: Convert to fraction form
    28,562/42,870.70 = 13,781.30/x
  3. Step 3: Cross multiply
    28,562x = 42,870.70 × 13,781.30
  4. Step 4: Simplify right side
    28,562x = 590,813,977.91
  5. Step 5: Solve for x
    x = 590,813,977.91/28,562
  6. Step 6: Final answer
    x = 20,685.32

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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.