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Finding the Fourth Proportional to 7,118, 10,680.84 and 3,470

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Solution

The fourth proportional to 7,118, 10,680.84 and 3,470 is: 5,206.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,118 : 10,680.84 = 3,470 : x
  2. Step 2: Convert to fraction form
    7,118/10,680.84 = 3,470/x
  3. Step 3: Cross multiply
    7,118x = 10,680.84 × 3,470
  4. Step 4: Simplify right side
    7,118x = 37,062,514.80
  5. Step 5: Solve for x
    x = 37,062,514.80/7,118
  6. Step 6: Final answer
    x = 5,206.87

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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.