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Finding the Fourth Proportional to 9,350.80, 13,959.86 and 8,314

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Solution

The fourth proportional to 9,350.80, 13,959.86 and 8,314 is: 12,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,350.80 : 13,959.86 = 8,314 : x
  2. Step 2: Convert to fraction form
    9,350.80/13,959.86 = 8,314/x
  3. Step 3: Cross multiply
    9,350.80x = 13,959.86 × 8,314
  4. Step 4: Simplify right side
    9,350.80x = 116,062,276.04
  5. Step 5: Solve for x
    x = 116,062,276.04/9,350.80
  6. Step 6: Final answer
    x = 12,412.02

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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.