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Finding the Fourth Proportional to 2,658.25, 3,987.38 and 1,014.42

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Solution

The fourth proportional to 2,658.25, 3,987.38 and 1,014.42 is: 1,521.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.25 : 3,987.38 = 1,014.42 : x
  2. Step 2: Convert to fraction form
    2,658.25/3,987.38 = 1,014.42/x
  3. Step 3: Cross multiply
    2,658.25x = 3,987.38 × 1,014.42
  4. Step 4: Simplify right side
    2,658.25x = 4,044,878.02
  5. Step 5: Solve for x
    x = 4,044,878.02/2,658.25
  6. Step 6: Final answer
    x = 1,521.63

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1.5x scale

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.