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Finding the Fourth Proportional to 7,708, 11,562.28 and 2,161.86

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Solution

The fourth proportional to 7,708, 11,562.28 and 2,161.86 is: 3,242.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,708 : 11,562.28 = 2,161.86 : x
  2. Step 2: Convert to fraction form
    7,708/11,562.28 = 2,161.86/x
  3. Step 3: Cross multiply
    7,708x = 11,562.28 × 2,161.86
  4. Step 4: Simplify right side
    7,708x = 24,996,030.64
  5. Step 5: Solve for x
    x = 24,996,030.64/7,708
  6. Step 6: Final answer
    x = 3,242.87

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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.