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Finding the Fourth Proportional to 2,422, 3,633.14 and 690.76

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Solution

The fourth proportional to 2,422, 3,633.14 and 690.76 is: 1,036.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,422 : 3,633.14 = 690.76 : x
  2. Step 2: Convert to fraction form
    2,422/3,633.14 = 690.76/x
  3. Step 3: Cross multiply
    2,422x = 3,633.14 × 690.76
  4. Step 4: Simplify right side
    2,422x = 2,509,627.79
  5. Step 5: Solve for x
    x = 2,509,627.79/2,422
  6. Step 6: Final answer
    x = 1,036.18

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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.