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Finding the Fourth Proportional to 25,281, 34,887.78 and 14,103

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Solution

The fourth proportional to 25,281, 34,887.78 and 14,103 is: 19,462.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,281 : 34,887.78 = 14,103 : x
  2. Step 2: Convert to fraction form
    25,281/34,887.78 = 14,103/x
  3. Step 3: Cross multiply
    25,281x = 34,887.78 × 14,103
  4. Step 4: Simplify right side
    25,281x = 492,022,361.34
  5. Step 5: Solve for x
    x = 492,022,361.34/25,281
  6. Step 6: Final answer
    x = 19,462.14

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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.