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Finding the Fourth Proportional to 6,654.89, 9,969 and 4,306.79

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Solution

The fourth proportional to 6,654.89, 9,969 and 4,306.79 is: 6,451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.89 : 9,969 = 4,306.79 : x
  2. Step 2: Convert to fraction form
    6,654.89/9,969 = 4,306.79/x
  3. Step 3: Cross multiply
    6,654.89x = 9,969 × 4,306.79
  4. Step 4: Simplify right side
    6,654.89x = 42,934,389.51
  5. Step 5: Solve for x
    x = 42,934,389.51/6,654.89
  6. Step 6: Final answer
    x = 6,451.56

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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.