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Finding the Fourth Proportional to 25,671, 38,506.50 and 9,255

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Solution

The fourth proportional to 25,671, 38,506.50 and 9,255 is: 13,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,671 : 38,506.50 = 9,255 : x
  2. Step 2: Convert to fraction form
    25,671/38,506.50 = 9,255/x
  3. Step 3: Cross multiply
    25,671x = 38,506.50 × 9,255
  4. Step 4: Simplify right side
    25,671x = 356,377,657.50
  5. Step 5: Solve for x
    x = 356,377,657.50/25,671
  6. Step 6: Final answer
    x = 13,882.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.