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Finding the Fourth Proportional to 2,657.91, 3,987.14 and 1,015.84

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Solution

The fourth proportional to 2,657.91, 3,987.14 and 1,015.84 is: 1,523.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.91 : 3,987.14 = 1,015.84 : x
  2. Step 2: Convert to fraction form
    2,657.91/3,987.14 = 1,015.84/x
  3. Step 3: Cross multiply
    2,657.91x = 3,987.14 × 1,015.84
  4. Step 4: Simplify right side
    2,657.91x = 4,050,281.25
  5. Step 5: Solve for x
    x = 4,050,281.25/2,657.91
  6. Step 6: Final answer
    x = 1,523.86

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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.