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Finding the Fourth Proportional to 2,990.74, 4,487.07 and 911.15

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Solution

The fourth proportional to 2,990.74, 4,487.07 and 911.15 is: 1,367.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.74 : 4,487.07 = 911.15 : x
  2. Step 2: Convert to fraction form
    2,990.74/4,487.07 = 911.15/x
  3. Step 3: Cross multiply
    2,990.74x = 4,487.07 × 911.15
  4. Step 4: Simplify right side
    2,990.74x = 4,088,393.83
  5. Step 5: Solve for x
    x = 4,088,393.83/2,990.74
  6. Step 6: Final answer
    x = 1,367.02

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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.