Home / 2,874-3,966.60-2,174.16

Finding the Fourth Proportional to 2,874, 3,966.60 and 2,174.16

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Solution

The fourth proportional to 2,874, 3,966.60 and 2,174.16 is: 3,000.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,874 : 3,966.60 = 2,174.16 : x
  2. Step 2: Convert to fraction form
    2,874/3,966.60 = 2,174.16/x
  3. Step 3: Cross multiply
    2,874x = 3,966.60 × 2,174.16
  4. Step 4: Simplify right side
    2,874x = 8,624,023.06
  5. Step 5: Solve for x
    x = 8,624,023.06/2,874
  6. Step 6: Final answer
    x = 3,000.70

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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.