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Finding the Fourth Proportional to 2,632.84, 3,945.85 and 1,071.03

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Solution

The fourth proportional to 2,632.84, 3,945.85 and 1,071.03 is: 1,605.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.84 : 3,945.85 = 1,071.03 : x
  2. Step 2: Convert to fraction form
    2,632.84/3,945.85 = 1,071.03/x
  3. Step 3: Cross multiply
    2,632.84x = 3,945.85 × 1,071.03
  4. Step 4: Simplify right side
    2,632.84x = 4,226,121.05
  5. Step 5: Solve for x
    x = 4,226,121.05/2,632.84
  6. Step 6: Final answer
    x = 1,605.16

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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.