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Finding the Fourth Proportional to 3,158.32, 4,360.08 and 2,164

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Solution

The fourth proportional to 3,158.32, 4,360.08 and 2,164 is: 2,987.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,158.32 : 4,360.08 = 2,164 : x
  2. Step 2: Convert to fraction form
    3,158.32/4,360.08 = 2,164/x
  3. Step 3: Cross multiply
    3,158.32x = 4,360.08 × 2,164
  4. Step 4: Simplify right side
    3,158.32x = 9,435,213.12
  5. Step 5: Solve for x
    x = 9,435,213.12/3,158.32
  6. Step 6: Final answer
    x = 2,987.42

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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.