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Finding the Fourth Proportional to 2,374.44, 3,561.12 and 643.20

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Solution

The fourth proportional to 2,374.44, 3,561.12 and 643.20 is: 964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,374.44 : 3,561.12 = 643.20 : x
  2. Step 2: Convert to fraction form
    2,374.44/3,561.12 = 643.20/x
  3. Step 3: Cross multiply
    2,374.44x = 3,561.12 × 643.20
  4. Step 4: Simplify right side
    2,374.44x = 2,290,512.38
  5. Step 5: Solve for x
    x = 2,290,512.38/2,374.44
  6. Step 6: Final answer
    x = 964.65

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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.