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Finding the Fourth Proportional to 9,147.79, 12,624 and 4,956.04

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Solution

The fourth proportional to 9,147.79, 12,624 and 4,956.04 is: 6,839.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.79 : 12,624 = 4,956.04 : x
  2. Step 2: Convert to fraction form
    9,147.79/12,624 = 4,956.04/x
  3. Step 3: Cross multiply
    9,147.79x = 12,624 × 4,956.04
  4. Step 4: Simplify right side
    9,147.79x = 62,565,048.96
  5. Step 5: Solve for x
    x = 62,565,048.96/9,147.79
  6. Step 6: Final answer
    x = 6,839.36

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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.