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Finding the Fourth Proportional to 22,322.88, 30,805.92 and 12,892.80

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Solution

The fourth proportional to 22,322.88, 30,805.92 and 12,892.80 is: 17,792.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,322.88 : 30,805.92 = 12,892.80 : x
  2. Step 2: Convert to fraction form
    22,322.88/30,805.92 = 12,892.80/x
  3. Step 3: Cross multiply
    22,322.88x = 30,805.92 × 12,892.80
  4. Step 4: Simplify right side
    22,322.88x = 397,174,565.38
  5. Step 5: Solve for x
    x = 397,174,565.38/22,322.88
  6. Step 6: Final answer
    x = 17,792.26

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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.