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Finding the Fourth Proportional to 2,878.68, 4,318.20 and 931.44

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Solution

The fourth proportional to 2,878.68, 4,318.20 and 931.44 is: 1,397.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,878.68 : 4,318.20 = 931.44 : x
  2. Step 2: Convert to fraction form
    2,878.68/4,318.20 = 931.44/x
  3. Step 3: Cross multiply
    2,878.68x = 4,318.20 × 931.44
  4. Step 4: Simplify right side
    2,878.68x = 4,022,144.21
  5. Step 5: Solve for x
    x = 4,022,144.21/2,878.68
  6. Step 6: Final answer
    x = 1,397.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.