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Finding the Fourth Proportional to 7,128.74, 9,837.42 and 5,007.34

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Solution

The fourth proportional to 7,128.74, 9,837.42 and 5,007.34 is: 6,909.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,128.74 : 9,837.42 = 5,007.34 : x
  2. Step 2: Convert to fraction form
    7,128.74/9,837.42 = 5,007.34/x
  3. Step 3: Cross multiply
    7,128.74x = 9,837.42 × 5,007.34
  4. Step 4: Simplify right side
    7,128.74x = 49,259,306.66
  5. Step 5: Solve for x
    x = 49,259,306.66/7,128.74
  6. Step 6: Final answer
    x = 6,909.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.