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Finding the Fourth Proportional to 3,301.16, 4,951.16 and 1,521.80

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Solution

The fourth proportional to 3,301.16, 4,951.16 and 1,521.80 is: 2,282.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,301.16 : 4,951.16 = 1,521.80 : x
  2. Step 2: Convert to fraction form
    3,301.16/4,951.16 = 1,521.80/x
  3. Step 3: Cross multiply
    3,301.16x = 4,951.16 × 1,521.80
  4. Step 4: Simplify right side
    3,301.16x = 7,534,675.29
  5. Step 5: Solve for x
    x = 7,534,675.29/3,301.16
  6. Step 6: Final answer
    x = 2,282.43

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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.