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Finding the Fourth Proportional to 5,943.80, 8,202.15 and 3,254.97

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Solution

The fourth proportional to 5,943.80, 8,202.15 and 3,254.97 is: 4,491.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,943.80 : 8,202.15 = 3,254.97 : x
  2. Step 2: Convert to fraction form
    5,943.80/8,202.15 = 3,254.97/x
  3. Step 3: Cross multiply
    5,943.80x = 8,202.15 × 3,254.97
  4. Step 4: Simplify right side
    5,943.80x = 26,697,752.19
  5. Step 5: Solve for x
    x = 26,697,752.19/5,943.80
  6. Step 6: Final answer
    x = 4,491.70

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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.