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Finding the Fourth Proportional to 3,165.67, 4,742.43 and 1,520.16

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Solution

The fourth proportional to 3,165.67, 4,742.43 and 1,520.16 is: 2,277.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.67 : 4,742.43 = 1,520.16 : x
  2. Step 2: Convert to fraction form
    3,165.67/4,742.43 = 1,520.16/x
  3. Step 3: Cross multiply
    3,165.67x = 4,742.43 × 1,520.16
  4. Step 4: Simplify right side
    3,165.67x = 7,209,252.39
  5. Step 5: Solve for x
    x = 7,209,252.39/3,165.67
  6. Step 6: Final answer
    x = 2,277.32

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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.