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Finding the Fourth Proportional to 25,149, 34,706.70 and 13,971

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Solution

The fourth proportional to 25,149, 34,706.70 and 13,971 is: 19,280.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,149 : 34,706.70 = 13,971 : x
  2. Step 2: Convert to fraction form
    25,149/34,706.70 = 13,971/x
  3. Step 3: Cross multiply
    25,149x = 34,706.70 × 13,971
  4. Step 4: Simplify right side
    25,149x = 484,887,305.70
  5. Step 5: Solve for x
    x = 484,887,305.70/25,149
  6. Step 6: Final answer
    x = 19,280.58

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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.