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Finding the Fourth Proportional to 2,657.10, 3,987.60 and 992.76

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Solution

The fourth proportional to 2,657.10, 3,987.60 and 992.76 is: 1,489.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,657.10 : 3,987.60 = 992.76 : x
  2. Step 2: Convert to fraction form
    2,657.10/3,987.60 = 992.76/x
  3. Step 3: Cross multiply
    2,657.10x = 3,987.60 × 992.76
  4. Step 4: Simplify right side
    2,657.10x = 3,958,729.78
  5. Step 5: Solve for x
    x = 3,958,729.78/2,657.10
  6. Step 6: Final answer
    x = 1,489.87

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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.