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Finding the Fourth Proportional to 3,660.54, 5,487.50 and 1,319.99

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Solution

The fourth proportional to 3,660.54, 5,487.50 and 1,319.99 is: 1,978.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,660.54 : 5,487.50 = 1,319.99 : x
  2. Step 2: Convert to fraction form
    3,660.54/5,487.50 = 1,319.99/x
  3. Step 3: Cross multiply
    3,660.54x = 5,487.50 × 1,319.99
  4. Step 4: Simplify right side
    3,660.54x = 7,243,411.09
  5. Step 5: Solve for x
    x = 7,243,411.09/3,660.54
  6. Step 6: Final answer
    x = 1,978.78

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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.