Home / 2,738.28-4,107.02-1,006.50

Finding the Fourth Proportional to 2,738.28, 4,107.02 and 1,006.50

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Solution

The fourth proportional to 2,738.28, 4,107.02 and 1,006.50 is: 1,509.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,738.28 : 4,107.02 = 1,006.50 : x
  2. Step 2: Convert to fraction form
    2,738.28/4,107.02 = 1,006.50/x
  3. Step 3: Cross multiply
    2,738.28x = 4,107.02 × 1,006.50
  4. Step 4: Simplify right side
    2,738.28x = 4,133,710.60
  5. Step 5: Solve for x
    x = 4,133,710.60/2,738.28
  6. Step 6: Final answer
    x = 1,509.60

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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.