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Finding the Fourth Proportional to 8,340.98, 12,514.10 and 3,407.67

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Solution

The fourth proportional to 8,340.98, 12,514.10 and 3,407.67 is: 5,112.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,340.98 : 12,514.10 = 3,407.67 : x
  2. Step 2: Convert to fraction form
    8,340.98/12,514.10 = 3,407.67/x
  3. Step 3: Cross multiply
    8,340.98x = 12,514.10 × 3,407.67
  4. Step 4: Simplify right side
    8,340.98x = 42,643,906.11
  5. Step 5: Solve for x
    x = 42,643,906.11/8,340.98
  6. Step 6: Final answer
    x = 5,112.58

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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.