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Finding the Fourth Proportional to 25,114, 34,658.40 and 13,936

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Solution

The fourth proportional to 25,114, 34,658.40 and 13,936 is: 19,232.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,114 : 34,658.40 = 13,936 : x
  2. Step 2: Convert to fraction form
    25,114/34,658.40 = 13,936/x
  3. Step 3: Cross multiply
    25,114x = 34,658.40 × 13,936
  4. Step 4: Simplify right side
    25,114x = 482,999,462.40
  5. Step 5: Solve for x
    x = 482,999,462.40/25,114
  6. Step 6: Final answer
    x = 19,232.28

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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.