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Finding the Fourth Proportional to 4,000, 5,517.56 and 2,655.67

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Solution

The fourth proportional to 4,000, 5,517.56 and 2,655.67 is: 3,663.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,000 : 5,517.56 = 2,655.67 : x
  2. Step 2: Convert to fraction form
    4,000/5,517.56 = 2,655.67/x
  3. Step 3: Cross multiply
    4,000x = 5,517.56 × 2,655.67
  4. Step 4: Simplify right side
    4,000x = 14,652,818.57
  5. Step 5: Solve for x
    x = 14,652,818.57/4,000
  6. Step 6: Final answer
    x = 3,663.20

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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.