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Finding the Fourth Proportional to 12,632, 17,432.16 and 7,042.88

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Solution

The fourth proportional to 12,632, 17,432.16 and 7,042.88 is: 9,719.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,632 : 17,432.16 = 7,042.88 : x
  2. Step 2: Convert to fraction form
    12,632/17,432.16 = 7,042.88/x
  3. Step 3: Cross multiply
    12,632x = 17,432.16 × 7,042.88
  4. Step 4: Simplify right side
    12,632x = 122,772,611.02
  5. Step 5: Solve for x
    x = 122,772,611.02/12,632
  6. Step 6: Final answer
    x = 9,719.17

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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.