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Finding the Fourth Proportional to 6,494.42, 8,965.14 and 4,139.66

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Solution

The fourth proportional to 6,494.42, 8,965.14 and 4,139.66 is: 5,714.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.42 : 8,965.14 = 4,139.66 : x
  2. Step 2: Convert to fraction form
    6,494.42/8,965.14 = 4,139.66/x
  3. Step 3: Cross multiply
    6,494.42x = 8,965.14 × 4,139.66
  4. Step 4: Simplify right side
    6,494.42x = 37,112,631.45
  5. Step 5: Solve for x
    x = 37,112,631.45/6,494.42
  6. Step 6: Final answer
    x = 5,714.54

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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.