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Finding the Fourth Proportional to 3,770.16, 5,655.16 and 2,015.76

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Solution

The fourth proportional to 3,770.16, 5,655.16 and 2,015.76 is: 3,023.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.16 : 5,655.16 = 2,015.76 : x
  2. Step 2: Convert to fraction form
    3,770.16/5,655.16 = 2,015.76/x
  3. Step 3: Cross multiply
    3,770.16x = 5,655.16 × 2,015.76
  4. Step 4: Simplify right side
    3,770.16x = 11,399,445.32
  5. Step 5: Solve for x
    x = 11,399,445.32/3,770.16
  6. Step 6: Final answer
    x = 3,023.60

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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.