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Finding the Fourth Proportional to 25,561.88, 35,275.12 and 14,231.20

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Solution

The fourth proportional to 25,561.88, 35,275.12 and 14,231.20 is: 19,638.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,561.88 : 35,275.12 = 14,231.20 : x
  2. Step 2: Convert to fraction form
    25,561.88/35,275.12 = 14,231.20/x
  3. Step 3: Cross multiply
    25,561.88x = 35,275.12 × 14,231.20
  4. Step 4: Simplify right side
    25,561.88x = 502,007,287.74
  5. Step 5: Solve for x
    x = 502,007,287.74/25,561.88
  6. Step 6: Final answer
    x = 19,638.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.