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Finding the Fourth Proportional to 13,149, 19,730.67 and 7,613.15

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Solution

The fourth proportional to 13,149, 19,730.67 and 7,613.15 is: 11,423.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,149 : 19,730.67 = 7,613.15 : x
  2. Step 2: Convert to fraction form
    13,149/19,730.67 = 7,613.15/x
  3. Step 3: Cross multiply
    13,149x = 19,730.67 × 7,613.15
  4. Step 4: Simplify right side
    13,149x = 150,212,599.64
  5. Step 5: Solve for x
    x = 150,212,599.64/13,149
  6. Step 6: Final answer
    x = 11,423.88

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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.