Home / 2,042.18-2,818.10-1,157.90

Finding the Fourth Proportional to 2,042.18, 2,818.10 and 1,157.90

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Solution

The fourth proportional to 2,042.18, 2,818.10 and 1,157.90 is: 1,597.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,042.18 : 2,818.10 = 1,157.90 : x
  2. Step 2: Convert to fraction form
    2,042.18/2,818.10 = 1,157.90/x
  3. Step 3: Cross multiply
    2,042.18x = 2,818.10 × 1,157.90
  4. Step 4: Simplify right side
    2,042.18x = 3,263,077.99
  5. Step 5: Solve for x
    x = 3,263,077.99/2,042.18
  6. Step 6: Final answer
    x = 1,597.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.