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Finding the Fourth Proportional to 8,314.88, 12,499.05 and 6,689.48

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Solution

The fourth proportional to 8,314.88, 12,499.05 and 6,689.48 is: 10,055.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,314.88 : 12,499.05 = 6,689.48 : x
  2. Step 2: Convert to fraction form
    8,314.88/12,499.05 = 6,689.48/x
  3. Step 3: Cross multiply
    8,314.88x = 12,499.05 × 6,689.48
  4. Step 4: Simplify right side
    8,314.88x = 83,612,144.99
  5. Step 5: Solve for x
    x = 83,612,144.99/8,314.88
  6. Step 6: Final answer
    x = 10,055.72

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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.