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Finding the Fourth Proportional to 49,587, 74,380.50 and 12,651

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Solution

The fourth proportional to 49,587, 74,380.50 and 12,651 is: 18,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,587 : 74,380.50 = 12,651 : x
  2. Step 2: Convert to fraction form
    49,587/74,380.50 = 12,651/x
  3. Step 3: Cross multiply
    49,587x = 74,380.50 × 12,651
  4. Step 4: Simplify right side
    49,587x = 940,987,705.50
  5. Step 5: Solve for x
    x = 940,987,705.50/49,587
  6. Step 6: Final answer
    x = 18,976.50

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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.