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Finding the Fourth Proportional to 9,256.20, 13,843.80 and 8,276.10

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Solution

The fourth proportional to 9,256.20, 13,843.80 and 8,276.10 is: 12,377.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.20 : 13,843.80 = 8,276.10 : x
  2. Step 2: Convert to fraction form
    9,256.20/13,843.80 = 8,276.10/x
  3. Step 3: Cross multiply
    9,256.20x = 13,843.80 × 8,276.10
  4. Step 4: Simplify right side
    9,256.20x = 114,572,673.18
  5. Step 5: Solve for x
    x = 114,572,673.18/9,256.20
  6. Step 6: Final answer
    x = 12,377.94

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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.