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Finding the Fourth Proportional to 7,711, 11,565.64 and 2,164.56

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Solution

The fourth proportional to 7,711, 11,565.64 and 2,164.56 is: 3,246.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711 : 11,565.64 = 2,164.56 : x
  2. Step 2: Convert to fraction form
    7,711/11,565.64 = 2,164.56/x
  3. Step 3: Cross multiply
    7,711x = 11,565.64 × 2,164.56
  4. Step 4: Simplify right side
    7,711x = 25,034,521.72
  5. Step 5: Solve for x
    x = 25,034,521.72/7,711
  6. Step 6: Final answer
    x = 3,246.60

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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.