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Finding the Fourth Proportional to 25,280, 34,886.42 and 14,102

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Solution

The fourth proportional to 25,280, 34,886.42 and 14,102 is: 19,460.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,280 : 34,886.42 = 14,102 : x
  2. Step 2: Convert to fraction form
    25,280/34,886.42 = 14,102/x
  3. Step 3: Cross multiply
    25,280x = 34,886.42 × 14,102
  4. Step 4: Simplify right side
    25,280x = 491,968,294.84
  5. Step 5: Solve for x
    x = 491,968,294.84/25,280
  6. Step 6: Final answer
    x = 19,460.77

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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.