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Finding the Fourth Proportional to 6,489.59, 8,959.08 and 5,199.43

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Solution

The fourth proportional to 6,489.59, 8,959.08 and 5,199.43 is: 7,177.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.59 : 8,959.08 = 5,199.43 : x
  2. Step 2: Convert to fraction form
    6,489.59/8,959.08 = 5,199.43/x
  3. Step 3: Cross multiply
    6,489.59x = 8,959.08 × 5,199.43
  4. Step 4: Simplify right side
    6,489.59x = 46,582,083.33
  5. Step 5: Solve for x
    x = 46,582,083.33/6,489.59
  6. Step 6: Final answer
    x = 7,177.98

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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.