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Finding the Fourth Proportional to 2,421.12, 3,631.68 and 689.75

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Solution

The fourth proportional to 2,421.12, 3,631.68 and 689.75 is: 1,034.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,421.12 : 3,631.68 = 689.75 : x
  2. Step 2: Convert to fraction form
    2,421.12/3,631.68 = 689.75/x
  3. Step 3: Cross multiply
    2,421.12x = 3,631.68 × 689.75
  4. Step 4: Simplify right side
    2,421.12x = 2,504,951.28
  5. Step 5: Solve for x
    x = 2,504,951.28/2,421.12
  6. Step 6: Final answer
    x = 1,034.63

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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.