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Finding the Fourth Proportional to 6,654.89, 9,989.25 and 4,901.87

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Solution

The fourth proportional to 6,654.89, 9,989.25 and 4,901.87 is: 7,357.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.89 : 9,989.25 = 4,901.87 : x
  2. Step 2: Convert to fraction form
    6,654.89/9,989.25 = 4,901.87/x
  3. Step 3: Cross multiply
    6,654.89x = 9,989.25 × 4,901.87
  4. Step 4: Simplify right side
    6,654.89x = 48,965,967.67
  5. Step 5: Solve for x
    x = 48,965,967.67/6,654.89
  6. Step 6: Final answer
    x = 7,357.90

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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.