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Finding the Fourth Proportional to 9,876.87, 14,815.30 and 3,956.44

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Solution

The fourth proportional to 9,876.87, 14,815.30 and 3,956.44 is: 5,934.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.87 : 14,815.30 = 3,956.44 : x
  2. Step 2: Convert to fraction form
    9,876.87/14,815.30 = 3,956.44/x
  3. Step 3: Cross multiply
    9,876.87x = 14,815.30 × 3,956.44
  4. Step 4: Simplify right side
    9,876.87x = 58,615,845.53
  5. Step 5: Solve for x
    x = 58,615,845.53/9,876.87
  6. Step 6: Final answer
    x = 5,934.66

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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.