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Finding the Fourth Proportional to 22,959.88, 31,686.05 and 15,290.00

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Solution

The fourth proportional to 22,959.88, 31,686.05 and 15,290.00 is: 21,101.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,959.88 : 31,686.05 = 15,290.00 : x
  2. Step 2: Convert to fraction form
    22,959.88/31,686.05 = 15,290.00/x
  3. Step 3: Cross multiply
    22,959.88x = 31,686.05 × 15,290.00
  4. Step 4: Simplify right side
    22,959.88x = 484,479,617.11
  5. Step 5: Solve for x
    x = 484,479,617.11/22,959.88
  6. Step 6: Final answer
    x = 21,101.14

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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.