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Finding the Fourth Proportional to 25,159, 34,719.44 and 13,981

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Solution

The fourth proportional to 25,159, 34,719.44 and 13,981 is: 19,293.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,159 : 34,719.44 = 13,981 : x
  2. Step 2: Convert to fraction form
    25,159/34,719.44 = 13,981/x
  3. Step 3: Cross multiply
    25,159x = 34,719.44 × 13,981
  4. Step 4: Simplify right side
    25,159x = 485,412,490.64
  5. Step 5: Solve for x
    x = 485,412,490.64/25,159
  6. Step 6: Final answer
    x = 19,293.79

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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.