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Finding the Fourth Proportional to 25,363, 38,061.78 and 8,947

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Solution

The fourth proportional to 25,363, 38,061.78 and 8,947 is: 13,426.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,363 : 38,061.78 = 8,947 : x
  2. Step 2: Convert to fraction form
    25,363/38,061.78 = 8,947/x
  3. Step 3: Cross multiply
    25,363x = 38,061.78 × 8,947
  4. Step 4: Simplify right side
    25,363x = 340,538,745.66
  5. Step 5: Solve for x
    x = 340,538,745.66/25,363
  6. Step 6: Final answer
    x = 13,426.60

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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.