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Finding the Fourth Proportional to 2,002.16, 3,003.68 and 615.52

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Solution

The fourth proportional to 2,002.16, 3,003.68 and 615.52 is: 923.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.16 : 3,003.68 = 615.52 : x
  2. Step 2: Convert to fraction form
    2,002.16/3,003.68 = 615.52/x
  3. Step 3: Cross multiply
    2,002.16x = 3,003.68 × 615.52
  4. Step 4: Simplify right side
    2,002.16x = 1,848,825.11
  5. Step 5: Solve for x
    x = 1,848,825.11/2,002.16
  6. Step 6: Final answer
    x = 923.42

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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.