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Finding the Fourth Proportional to 4,265, 6,397.02 and 1,342.76

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Solution

The fourth proportional to 4,265, 6,397.02 and 1,342.76 is: 2,013.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,265 : 6,397.02 = 1,342.76 : x
  2. Step 2: Convert to fraction form
    4,265/6,397.02 = 1,342.76/x
  3. Step 3: Cross multiply
    4,265x = 6,397.02 × 1,342.76
  4. Step 4: Simplify right side
    4,265x = 8,589,662.58
  5. Step 5: Solve for x
    x = 8,589,662.58/4,265
  6. Step 6: Final answer
    x = 2,013.99

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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.