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Finding the Fourth Proportional to 2,741.40, 4,111.08 and 985.90

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Solution

The fourth proportional to 2,741.40, 4,111.08 and 985.90 is: 1,478.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,741.40 : 4,111.08 = 985.90 : x
  2. Step 2: Convert to fraction form
    2,741.40/4,111.08 = 985.90/x
  3. Step 3: Cross multiply
    2,741.40x = 4,111.08 × 985.90
  4. Step 4: Simplify right side
    2,741.40x = 4,053,113.77
  5. Step 5: Solve for x
    x = 4,053,113.77/2,741.40
  6. Step 6: Final answer
    x = 1,478.48

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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.