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Finding the Fourth Proportional to 9,874.39, 13,625.32 and 6,342.38

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Solution

The fourth proportional to 9,874.39, 13,625.32 and 6,342.38 is: 8,751.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,874.39 : 13,625.32 = 6,342.38 : x
  2. Step 2: Convert to fraction form
    9,874.39/13,625.32 = 6,342.38/x
  3. Step 3: Cross multiply
    9,874.39x = 13,625.32 × 6,342.38
  4. Step 4: Simplify right side
    9,874.39x = 86,416,957.06
  5. Step 5: Solve for x
    x = 86,416,957.06/9,874.39
  6. Step 6: Final answer
    x = 8,751.62

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1.5x scale

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.