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Finding the Fourth Proportional to 20,449.12, 30,712.56 and 12,712

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Solution

The fourth proportional to 20,449.12, 30,712.56 and 12,712 is: 19,092.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,449.12 : 30,712.56 = 12,712 : x
  2. Step 2: Convert to fraction form
    20,449.12/30,712.56 = 12,712/x
  3. Step 3: Cross multiply
    20,449.12x = 30,712.56 × 12,712
  4. Step 4: Simplify right side
    20,449.12x = 390,418,062.72
  5. Step 5: Solve for x
    x = 390,418,062.72/20,449.12
  6. Step 6: Final answer
    x = 19,092.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.