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Finding the Fourth Proportional to 15,293.92, 22,914.30 and 8,278.75

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Solution

The fourth proportional to 15,293.92, 22,914.30 and 8,278.75 is: 12,403.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,293.92 : 22,914.30 = 8,278.75 : x
  2. Step 2: Convert to fraction form
    15,293.92/22,914.30 = 8,278.75/x
  3. Step 3: Cross multiply
    15,293.92x = 22,914.30 × 8,278.75
  4. Step 4: Simplify right side
    15,293.92x = 189,701,761.13
  5. Step 5: Solve for x
    x = 189,701,761.13/15,293.92
  6. Step 6: Final answer
    x = 12,403.74

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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.