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Finding the Fourth Proportional to 6,493.70, 8,959.20 and 3,973.18

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Solution

The fourth proportional to 6,493.70, 8,959.20 and 3,973.18 is: 5,481.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.70 : 8,959.20 = 3,973.18 : x
  2. Step 2: Convert to fraction form
    6,493.70/8,959.20 = 3,973.18/x
  3. Step 3: Cross multiply
    6,493.70x = 8,959.20 × 3,973.18
  4. Step 4: Simplify right side
    6,493.70x = 35,596,514.26
  5. Step 5: Solve for x
    x = 35,596,514.26/6,493.70
  6. Step 6: Final answer
    x = 5,481.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.