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Finding the Fourth Proportional to 12,837.92, 17,688.16 and 8,638.88

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Solution

The fourth proportional to 12,837.92, 17,688.16 and 8,638.88 is: 11,902.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,837.92 : 17,688.16 = 8,638.88 : x
  2. Step 2: Convert to fraction form
    12,837.92/17,688.16 = 8,638.88/x
  3. Step 3: Cross multiply
    12,837.92x = 17,688.16 × 8,638.88
  4. Step 4: Simplify right side
    12,837.92x = 152,805,891.66
  5. Step 5: Solve for x
    x = 152,805,891.66/12,837.92
  6. Step 6: Final answer
    x = 11,902.70

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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.