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Finding the Fourth Proportional to 22,799.88, 31,461 and 12,728.88

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Solution

The fourth proportional to 22,799.88, 31,461 and 12,728.88 is: 17,564.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,799.88 : 31,461 = 12,728.88 : x
  2. Step 2: Convert to fraction form
    22,799.88/31,461 = 12,728.88/x
  3. Step 3: Cross multiply
    22,799.88x = 31,461 × 12,728.88
  4. Step 4: Simplify right side
    22,799.88x = 400,463,293.68
  5. Step 5: Solve for x
    x = 400,463,293.68/22,799.88
  6. Step 6: Final answer
    x = 17,564.27

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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.