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Finding the Fourth Proportional to 8,378.63, 12,505.25 and 8,240.24

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Solution

The fourth proportional to 8,378.63, 12,505.25 and 8,240.24 is: 12,298.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,378.63 : 12,505.25 = 8,240.24 : x
  2. Step 2: Convert to fraction form
    8,378.63/12,505.25 = 8,240.24/x
  3. Step 3: Cross multiply
    8,378.63x = 12,505.25 × 8,240.24
  4. Step 4: Simplify right side
    8,378.63x = 103,046,235.33
  5. Step 5: Solve for x
    x = 103,046,235.33/8,378.63
  6. Step 6: Final answer
    x = 12,298.69

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.