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Finding the Fourth Proportional to 8,719.70, 13,071.57 and 3,787.57

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Solution

The fourth proportional to 8,719.70, 13,071.57 and 3,787.57 is: 5,677.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,719.70 : 13,071.57 = 3,787.57 : x
  2. Step 2: Convert to fraction form
    8,719.70/13,071.57 = 3,787.57/x
  3. Step 3: Cross multiply
    8,719.70x = 13,071.57 × 3,787.57
  4. Step 4: Simplify right side
    8,719.70x = 49,509,421.03
  5. Step 5: Solve for x
    x = 49,509,421.03/8,719.70
  6. Step 6: Final answer
    x = 5,677.88

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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.