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Finding the Fourth Proportional to 24,278.68, 36,420.84 and 8,478.82

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Solution

The fourth proportional to 24,278.68, 36,420.84 and 8,478.82 is: 12,719.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,278.68 : 36,420.84 = 8,478.82 : x
  2. Step 2: Convert to fraction form
    24,278.68/36,420.84 = 8,478.82/x
  3. Step 3: Cross multiply
    24,278.68x = 36,420.84 × 8,478.82
  4. Step 4: Simplify right side
    24,278.68x = 308,805,746.61
  5. Step 5: Solve for x
    x = 308,805,746.61/24,278.68
  6. Step 6: Final answer
    x = 12,719.21

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1.5x scale

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.