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Finding the Fourth Proportional to 2,741.86, 4,112.97 and 987.22

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Solution

The fourth proportional to 2,741.86, 4,112.97 and 987.22 is: 1,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.86 : 4,112.97 = 987.22 : x
  2. Step 2: Convert to fraction form
    2,741.86/4,112.97 = 987.22/x
  3. Step 3: Cross multiply
    2,741.86x = 4,112.97 × 987.22
  4. Step 4: Simplify right side
    2,741.86x = 4,060,406.24
  5. Step 5: Solve for x
    x = 4,060,406.24/2,741.86
  6. Step 6: Final answer
    x = 1,480.89

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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.