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Finding the Fourth Proportional to 9,608.40, 14,343.12 and 8,442

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Solution

The fourth proportional to 9,608.40, 14,343.12 and 8,442 is: 12,601.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.40 : 14,343.12 = 8,442 : x
  2. Step 2: Convert to fraction form
    9,608.40/14,343.12 = 8,442/x
  3. Step 3: Cross multiply
    9,608.40x = 14,343.12 × 8,442
  4. Step 4: Simplify right side
    9,608.40x = 121,084,619.04
  5. Step 5: Solve for x
    x = 121,084,619.04/9,608.40
  6. Step 6: Final answer
    x = 12,601.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.