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Finding the Fourth Proportional to 23,141.30, 31,935.06 and 12,531.11

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Solution

The fourth proportional to 23,141.30, 31,935.06 and 12,531.11 is: 17,292.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,141.30 : 31,935.06 = 12,531.11 : x
  2. Step 2: Convert to fraction form
    23,141.30/31,935.06 = 12,531.11/x
  3. Step 3: Cross multiply
    23,141.30x = 31,935.06 × 12,531.11
  4. Step 4: Simplify right side
    23,141.30x = 400,181,590.04
  5. Step 5: Solve for x
    x = 400,181,590.04/23,141.30
  6. Step 6: Final answer
    x = 17,292.96

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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.