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Finding the Fourth Proportional to 2,312.64, 3,467.76 and 1,012.64

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Solution

The fourth proportional to 2,312.64, 3,467.76 and 1,012.64 is: 1,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,312.64 : 3,467.76 = 1,012.64 : x
  2. Step 2: Convert to fraction form
    2,312.64/3,467.76 = 1,012.64/x
  3. Step 3: Cross multiply
    2,312.64x = 3,467.76 × 1,012.64
  4. Step 4: Simplify right side
    2,312.64x = 3,511,592.49
  5. Step 5: Solve for x
    x = 3,511,592.49/2,312.64
  6. Step 6: Final answer
    x = 1,518.43

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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.