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Finding the Fourth Proportional to 7,911.56, 11,870.53 and 2,982.61

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Solution

The fourth proportional to 7,911.56, 11,870.53 and 2,982.61 is: 4,475.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911.56 : 11,870.53 = 2,982.61 : x
  2. Step 2: Convert to fraction form
    7,911.56/11,870.53 = 2,982.61/x
  3. Step 3: Cross multiply
    7,911.56x = 11,870.53 × 2,982.61
  4. Step 4: Simplify right side
    7,911.56x = 35,405,161.48
  5. Step 5: Solve for x
    x = 35,405,161.48/7,911.56
  6. Step 6: Final answer
    x = 4,475.12

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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.