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Finding the Fourth Proportional to 2,874.64, 4,312.32 and 1,230.88

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Solution

The fourth proportional to 2,874.64, 4,312.32 and 1,230.88 is: 1,846.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874.64 : 4,312.32 = 1,230.88 : x
  2. Step 2: Convert to fraction form
    2,874.64/4,312.32 = 1,230.88/x
  3. Step 3: Cross multiply
    2,874.64x = 4,312.32 × 1,230.88
  4. Step 4: Simplify right side
    2,874.64x = 5,307,948.44
  5. Step 5: Solve for x
    x = 5,307,948.44/2,874.64
  6. Step 6: Final answer
    x = 1,846.47

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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.