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Finding the Fourth Proportional to 2,179.76, 3,007.20 and 1,394.24

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Solution

The fourth proportional to 2,179.76, 3,007.20 and 1,394.24 is: 1,923.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,179.76 : 3,007.20 = 1,394.24 : x
  2. Step 2: Convert to fraction form
    2,179.76/3,007.20 = 1,394.24/x
  3. Step 3: Cross multiply
    2,179.76x = 3,007.20 × 1,394.24
  4. Step 4: Simplify right side
    2,179.76x = 4,192,758.53
  5. Step 5: Solve for x
    x = 4,192,758.53/2,179.76
  6. Step 6: Final answer
    x = 1,923.50

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1.5x scale

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.