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Finding the Fourth Proportional to 4,078, 5,627.76 and 2,215.12

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Solution

The fourth proportional to 4,078, 5,627.76 and 2,215.12 is: 3,056.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,078 : 5,627.76 = 2,215.12 : x
  2. Step 2: Convert to fraction form
    4,078/5,627.76 = 2,215.12/x
  3. Step 3: Cross multiply
    4,078x = 5,627.76 × 2,215.12
  4. Step 4: Simplify right side
    4,078x = 12,466,163.73
  5. Step 5: Solve for x
    x = 12,466,163.73/4,078
  6. Step 6: Final answer
    x = 3,056.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.