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Finding the Fourth Proportional to 3,211, 4,816.48 and 2,565.82

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Solution

The fourth proportional to 3,211, 4,816.48 and 2,565.82 is: 3,848.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,211 : 4,816.48 = 2,565.82 : x
  2. Step 2: Convert to fraction form
    3,211/4,816.48 = 2,565.82/x
  3. Step 3: Cross multiply
    3,211x = 4,816.48 × 2,565.82
  4. Step 4: Simplify right side
    3,211x = 12,358,220.71
  5. Step 5: Solve for x
    x = 12,358,220.71/3,211
  6. Step 6: Final answer
    x = 3,848.71

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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.