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Finding the Fourth Proportional to 4,256.64, 6,380.10 and 1,918.44

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Solution

The fourth proportional to 4,256.64, 6,380.10 and 1,918.44 is: 2,875.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,256.64 : 6,380.10 = 1,918.44 : x
  2. Step 2: Convert to fraction form
    4,256.64/6,380.10 = 1,918.44/x
  3. Step 3: Cross multiply
    4,256.64x = 6,380.10 × 1,918.44
  4. Step 4: Simplify right side
    4,256.64x = 12,239,839.04
  5. Step 5: Solve for x
    x = 12,239,839.04/4,256.64
  6. Step 6: Final answer
    x = 2,875.47

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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.