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Finding the Fourth Proportional to 3,155.15, 4,732.43 and 964.20

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Solution

The fourth proportional to 3,155.15, 4,732.43 and 964.20 is: 1,446.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155.15 : 4,732.43 = 964.20 : x
  2. Step 2: Convert to fraction form
    3,155.15/4,732.43 = 964.20/x
  3. Step 3: Cross multiply
    3,155.15x = 4,732.43 × 964.20
  4. Step 4: Simplify right side
    3,155.15x = 4,563,021.93
  5. Step 5: Solve for x
    x = 4,563,021.93/3,155.15
  6. Step 6: Final answer
    x = 1,446.21

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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.