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Finding the Fourth Proportional to 3,159.32, 4,361.46 and 2,165

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Solution

The fourth proportional to 3,159.32, 4,361.46 and 2,165 is: 2,988.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159.32 : 4,361.46 = 2,165 : x
  2. Step 2: Convert to fraction form
    3,159.32/4,361.46 = 2,165/x
  3. Step 3: Cross multiply
    3,159.32x = 4,361.46 × 2,165
  4. Step 4: Simplify right side
    3,159.32x = 9,442,560.90
  5. Step 5: Solve for x
    x = 9,442,560.90/3,159.32
  6. Step 6: Final answer
    x = 2,988.80

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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.