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Finding the Fourth Proportional to 2,658.46, 3,987.69 and 1,271.47

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Solution

The fourth proportional to 2,658.46, 3,987.69 and 1,271.47 is: 1,907.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.46 : 3,987.69 = 1,271.47 : x
  2. Step 2: Convert to fraction form
    2,658.46/3,987.69 = 1,271.47/x
  3. Step 3: Cross multiply
    2,658.46x = 3,987.69 × 1,271.47
  4. Step 4: Simplify right side
    2,658.46x = 5,070,228.20
  5. Step 5: Solve for x
    x = 5,070,228.20/2,658.46
  6. Step 6: Final answer
    x = 1,907.21

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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.