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Finding the Fourth Proportional to 9,159.72, 12,640.41 and 4,967.97

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Solution

The fourth proportional to 9,159.72, 12,640.41 and 4,967.97 is: 6,855.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,159.72 : 12,640.41 = 4,967.97 : x
  2. Step 2: Convert to fraction form
    9,159.72/12,640.41 = 4,967.97/x
  3. Step 3: Cross multiply
    9,159.72x = 12,640.41 × 4,967.97
  4. Step 4: Simplify right side
    9,159.72x = 62,797,177.67
  5. Step 5: Solve for x
    x = 62,797,177.67/9,159.72
  6. Step 6: Final answer
    x = 6,855.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.