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Finding the Fourth Proportional to 3,859.76, 5,795.40 and 2,218.16

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Solution

The fourth proportional to 3,859.76, 5,795.40 and 2,218.16 is: 3,330.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,859.76 : 5,795.40 = 2,218.16 : x
  2. Step 2: Convert to fraction form
    3,859.76/5,795.40 = 2,218.16/x
  3. Step 3: Cross multiply
    3,859.76x = 5,795.40 × 2,218.16
  4. Step 4: Simplify right side
    3,859.76x = 12,855,124.46
  5. Step 5: Solve for x
    x = 12,855,124.46/3,859.76
  6. Step 6: Final answer
    x = 3,330.55

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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.