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Finding the Fourth Proportional to 3,159, 4,732.56 and 2,920.32

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Solution

The fourth proportional to 3,159, 4,732.56 and 2,920.32 is: 4,374.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,159 : 4,732.56 = 2,920.32 : x
  2. Step 2: Convert to fraction form
    3,159/4,732.56 = 2,920.32/x
  3. Step 3: Cross multiply
    3,159x = 4,732.56 × 2,920.32
  4. Step 4: Simplify right side
    3,159x = 13,820,589.62
  5. Step 5: Solve for x
    x = 13,820,589.62/3,159
  6. Step 6: Final answer
    x = 4,374.99

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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.