Home / 2,142.64-3,212.74-1,154.85

Finding the Fourth Proportional to 2,142.64, 3,212.74 and 1,154.85

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Solution

The fourth proportional to 2,142.64, 3,212.74 and 1,154.85 is: 1,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,142.64 : 3,212.74 = 1,154.85 : x
  2. Step 2: Convert to fraction form
    2,142.64/3,212.74 = 1,154.85/x
  3. Step 3: Cross multiply
    2,142.64x = 3,212.74 × 1,154.85
  4. Step 4: Simplify right side
    2,142.64x = 3,710,232.79
  5. Step 5: Solve for x
    x = 3,710,232.79/2,142.64
  6. Step 6: Final answer
    x = 1,731.62

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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.