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Finding the Fourth Proportional to 2,800.50, 4,200.75 and 748.50

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Solution

The fourth proportional to 2,800.50, 4,200.75 and 748.50 is: 1,122.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,800.50 : 4,200.75 = 748.50 : x
  2. Step 2: Convert to fraction form
    2,800.50/4,200.75 = 748.50/x
  3. Step 3: Cross multiply
    2,800.50x = 4,200.75 × 748.50
  4. Step 4: Simplify right side
    2,800.50x = 3,144,261.38
  5. Step 5: Solve for x
    x = 3,144,261.38/2,800.50
  6. Step 6: Final answer
    x = 1,122.75

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1.5x scale

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.