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Finding the Fourth Proportional to 7,160.88, 9,877.89 and 4,176.39

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Solution

The fourth proportional to 7,160.88, 9,877.89 and 4,176.39 is: 5,761.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,160.88 : 9,877.89 = 4,176.39 : x
  2. Step 2: Convert to fraction form
    7,160.88/9,877.89 = 4,176.39/x
  3. Step 3: Cross multiply
    7,160.88x = 9,877.89 × 4,176.39
  4. Step 4: Simplify right side
    7,160.88x = 41,253,921.02
  5. Step 5: Solve for x
    x = 41,253,921.02/7,160.88
  6. Step 6: Final answer
    x = 5,761.01

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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.