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Finding the Fourth Proportional to 2,230.76, 3,347.50 and 1,519.98

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Solution

The fourth proportional to 2,230.76, 3,347.50 and 1,519.98 is: 2,280.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,230.76 : 3,347.50 = 1,519.98 : x
  2. Step 2: Convert to fraction form
    2,230.76/3,347.50 = 1,519.98/x
  3. Step 3: Cross multiply
    2,230.76x = 3,347.50 × 1,519.98
  4. Step 4: Simplify right side
    2,230.76x = 5,088,133.05
  5. Step 5: Solve for x
    x = 5,088,133.05/2,230.76
  6. Step 6: Final answer
    x = 2,280.90

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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.