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Finding the Fourth Proportional to 2,397.54, 3,596.50 and 642.56

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Solution

The fourth proportional to 2,397.54, 3,596.50 and 642.56 is: 963.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,397.54 : 3,596.50 = 642.56 : x
  2. Step 2: Convert to fraction form
    2,397.54/3,596.50 = 642.56/x
  3. Step 3: Cross multiply
    2,397.54x = 3,596.50 × 642.56
  4. Step 4: Simplify right side
    2,397.54x = 2,310,967.04
  5. Step 5: Solve for x
    x = 2,310,967.04/2,397.54
  6. Step 6: Final answer
    x = 963.89

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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.