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Finding the Fourth Proportional to 25,731, 35,508.78 and 13,955

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Solution

The fourth proportional to 25,731, 35,508.78 and 13,955 is: 19,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,731 : 35,508.78 = 13,955 : x
  2. Step 2: Convert to fraction form
    25,731/35,508.78 = 13,955/x
  3. Step 3: Cross multiply
    25,731x = 35,508.78 × 13,955
  4. Step 4: Simplify right side
    25,731x = 495,525,024.90
  5. Step 5: Solve for x
    x = 495,525,024.90/25,731
  6. Step 6: Final answer
    x = 19,257.90

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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.