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Finding the Fourth Proportional to 2,632.78, 3,631.04 and 1,971.20

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Solution

The fourth proportional to 2,632.78, 3,631.04 and 1,971.20 is: 2,718.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,632.78 : 3,631.04 = 1,971.20 : x
  2. Step 2: Convert to fraction form
    2,632.78/3,631.04 = 1,971.20/x
  3. Step 3: Cross multiply
    2,632.78x = 3,631.04 × 1,971.20
  4. Step 4: Simplify right side
    2,632.78x = 7,157,506.05
  5. Step 5: Solve for x
    x = 7,157,506.05/2,632.78
  6. Step 6: Final answer
    x = 2,718.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.