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Finding the Fourth Proportional to 22,611.48, 31,203.79 and 12,540

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Solution

The fourth proportional to 22,611.48, 31,203.79 and 12,540 is: 17,305.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,611.48 : 31,203.79 = 12,540 : x
  2. Step 2: Convert to fraction form
    22,611.48/31,203.79 = 12,540/x
  3. Step 3: Cross multiply
    22,611.48x = 31,203.79 × 12,540
  4. Step 4: Simplify right side
    22,611.48x = 391,295,526.60
  5. Step 5: Solve for x
    x = 391,295,526.60/22,611.48
  6. Step 6: Final answer
    x = 17,305.17

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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.