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Finding the Fourth Proportional to 7,911.80, 11,870.45 and 2,982.86

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Solution

The fourth proportional to 7,911.80, 11,870.45 and 2,982.86 is: 4,475.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.80 : 11,870.45 = 2,982.86 : x
  2. Step 2: Convert to fraction form
    7,911.80/11,870.45 = 2,982.86/x
  3. Step 3: Cross multiply
    7,911.80x = 11,870.45 × 2,982.86
  4. Step 4: Simplify right side
    7,911.80x = 35,407,816.22
  5. Step 5: Solve for x
    x = 35,407,816.22/7,911.80
  6. Step 6: Final answer
    x = 4,475.32

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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.