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Finding the Fourth Proportional to 3,340.86, 5,009.72 and 999.96

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Solution

The fourth proportional to 3,340.86, 5,009.72 and 999.96 is: 1,499.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,340.86 : 5,009.72 = 999.96 : x
  2. Step 2: Convert to fraction form
    3,340.86/5,009.72 = 999.96/x
  3. Step 3: Cross multiply
    3,340.86x = 5,009.72 × 999.96
  4. Step 4: Simplify right side
    3,340.86x = 5,009,514.61
  5. Step 5: Solve for x
    x = 5,009,514.61/3,340.86
  6. Step 6: Final answer
    x = 1,499.47

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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.