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Finding the Fourth Proportional to 2,999.61, 4,507.56 and 1,539.78

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Solution

The fourth proportional to 2,999.61, 4,507.56 and 1,539.78 is: 2,313.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,999.61 : 4,507.56 = 1,539.78 : x
  2. Step 2: Convert to fraction form
    2,999.61/4,507.56 = 1,539.78/x
  3. Step 3: Cross multiply
    2,999.61x = 4,507.56 × 1,539.78
  4. Step 4: Simplify right side
    2,999.61x = 6,940,650.74
  5. Step 5: Solve for x
    x = 6,940,650.74/2,999.61
  6. Step 6: Final answer
    x = 2,313.85

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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.