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Finding the Fourth Proportional to 22,971, 31,691.88 and 15,017.88

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Solution

The fourth proportional to 22,971, 31,691.88 and 15,017.88 is: 20,719.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,971 : 31,691.88 = 15,017.88 : x
  2. Step 2: Convert to fraction form
    22,971/31,691.88 = 15,017.88/x
  3. Step 3: Cross multiply
    22,971x = 31,691.88 × 15,017.88
  4. Step 4: Simplify right side
    22,971x = 475,944,850.81
  5. Step 5: Solve for x
    x = 475,944,850.81/22,971
  6. Step 6: Final answer
    x = 20,719.38

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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.