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Finding the Fourth Proportional to 8,609.14, 12,897.04 and 5,042.64

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Solution

The fourth proportional to 8,609.14, 12,897.04 and 5,042.64 is: 7,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,609.14 : 12,897.04 = 5,042.64 : x
  2. Step 2: Convert to fraction form
    8,609.14/12,897.04 = 5,042.64/x
  3. Step 3: Cross multiply
    8,609.14x = 12,897.04 × 5,042.64
  4. Step 4: Simplify right side
    8,609.14x = 65,035,129.79
  5. Step 5: Solve for x
    x = 65,035,129.79/8,609.14
  6. Step 6: Final answer
    x = 7,554.20

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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.