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Finding the Fourth Proportional to 2,750.06, 4,123.02 and 900.20

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Solution

The fourth proportional to 2,750.06, 4,123.02 and 900.20 is: 1,349.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.06 : 4,123.02 = 900.20 : x
  2. Step 2: Convert to fraction form
    2,750.06/4,123.02 = 900.20/x
  3. Step 3: Cross multiply
    2,750.06x = 4,123.02 × 900.20
  4. Step 4: Simplify right side
    2,750.06x = 3,711,542.60
  5. Step 5: Solve for x
    x = 3,711,542.60/2,750.06
  6. Step 6: Final answer
    x = 1,349.62

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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.