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Finding the Fourth Proportional to 7,029.38, 9,708.39 and 5,455.08

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Solution

The fourth proportional to 7,029.38, 9,708.39 and 5,455.08 is: 7,534.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,029.38 : 9,708.39 = 5,455.08 : x
  2. Step 2: Convert to fraction form
    7,029.38/9,708.39 = 5,455.08/x
  3. Step 3: Cross multiply
    7,029.38x = 9,708.39 × 5,455.08
  4. Step 4: Simplify right side
    7,029.38x = 52,960,044.12
  5. Step 5: Solve for x
    x = 52,960,044.12/7,029.38
  6. Step 6: Final answer
    x = 7,534.10

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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.