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Finding the Fourth Proportional to 7,175.88, 9,906.08 and 4,789.88

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Solution

The fourth proportional to 7,175.88, 9,906.08 and 4,789.88 is: 6,612.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,175.88 : 9,906.08 = 4,789.88 : x
  2. Step 2: Convert to fraction form
    7,175.88/9,906.08 = 4,789.88/x
  3. Step 3: Cross multiply
    7,175.88x = 9,906.08 × 4,789.88
  4. Step 4: Simplify right side
    7,175.88x = 47,448,916.71
  5. Step 5: Solve for x
    x = 47,448,916.71/7,175.88
  6. Step 6: Final answer
    x = 6,612.28

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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.