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Finding the Fourth Proportional to 3,287.40, 4,931.07 and 822.20

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Solution

The fourth proportional to 3,287.40, 4,931.07 and 822.20 is: 1,233.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.40 : 4,931.07 = 822.20 : x
  2. Step 2: Convert to fraction form
    3,287.40/4,931.07 = 822.20/x
  3. Step 3: Cross multiply
    3,287.40x = 4,931.07 × 822.20
  4. Step 4: Simplify right side
    3,287.40x = 4,054,301.10
  5. Step 5: Solve for x
    x = 4,054,301.10/3,287.40
  6. Step 6: Final answer
    x = 1,233.28

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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.