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Finding the Fourth Proportional to 1,935.38, 2,902.35 and 636.50

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Solution

The fourth proportional to 1,935.38, 2,902.35 and 636.50 is: 954.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,935.38 : 2,902.35 = 636.50 : x
  2. Step 2: Convert to fraction form
    1,935.38/2,902.35 = 636.50/x
  3. Step 3: Cross multiply
    1,935.38x = 2,902.35 × 636.50
  4. Step 4: Simplify right side
    1,935.38x = 1,847,345.78
  5. Step 5: Solve for x
    x = 1,847,345.78/1,935.38
  6. Step 6: Final answer
    x = 954.51

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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.