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Finding the Fourth Proportional to 3,812.64, 5,720 and 1,215.76

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Solution

The fourth proportional to 3,812.64, 5,720 and 1,215.76 is: 1,823.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.64 : 5,720 = 1,215.76 : x
  2. Step 2: Convert to fraction form
    3,812.64/5,720 = 1,215.76/x
  3. Step 3: Cross multiply
    3,812.64x = 5,720 × 1,215.76
  4. Step 4: Simplify right side
    3,812.64x = 6,954,147.20
  5. Step 5: Solve for x
    x = 6,954,147.20/3,812.64
  6. Step 6: Final answer
    x = 1,823.97

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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.