Home / 2,142.40-3,204.72-2,011.18

Finding the Fourth Proportional to 2,142.40, 3,204.72 and 2,011.18

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Solution

The fourth proportional to 2,142.40, 3,204.72 and 2,011.18 is: 3,008.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.40 : 3,204.72 = 2,011.18 : x
  2. Step 2: Convert to fraction form
    2,142.40/3,204.72 = 2,011.18/x
  3. Step 3: Cross multiply
    2,142.40x = 3,204.72 × 2,011.18
  4. Step 4: Simplify right side
    2,142.40x = 6,445,277.46
  5. Step 5: Solve for x
    x = 6,445,277.46/2,142.40
  6. Step 6: Final answer
    x = 3,008.43

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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.