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Finding the Fourth Proportional to 1,500.80, 2,247.90 and 1,237.83

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Solution

The fourth proportional to 1,500.80, 2,247.90 and 1,237.83 is: 1,854.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,500.80 : 2,247.90 = 1,237.83 : x
  2. Step 2: Convert to fraction form
    1,500.80/2,247.90 = 1,237.83/x
  3. Step 3: Cross multiply
    1,500.80x = 2,247.90 × 1,237.83
  4. Step 4: Simplify right side
    1,500.80x = 2,782,504.99
  5. Step 5: Solve for x
    x = 2,782,504.99/1,500.80
  6. Step 6: Final answer
    x = 1,854.02

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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.