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Finding the Fourth Proportional to 13,153, 19,719.78 and 7,957.72

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Solution

The fourth proportional to 13,153, 19,719.78 and 7,957.72 is: 11,930.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,153 : 19,719.78 = 7,957.72 : x
  2. Step 2: Convert to fraction form
    13,153/19,719.78 = 7,957.72/x
  3. Step 3: Cross multiply
    13,153x = 19,719.78 × 7,957.72
  4. Step 4: Simplify right side
    13,153x = 156,924,487.70
  5. Step 5: Solve for x
    x = 156,924,487.70/13,153
  6. Step 6: Final answer
    x = 11,930.70

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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.