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Finding the Fourth Proportional to 5,301.80, 7,956.30 and 2,961.80

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Solution

The fourth proportional to 5,301.80, 7,956.30 and 2,961.80 is: 4,444.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,301.80 : 7,956.30 = 2,961.80 : x
  2. Step 2: Convert to fraction form
    5,301.80/7,956.30 = 2,961.80/x
  3. Step 3: Cross multiply
    5,301.80x = 7,956.30 × 2,961.80
  4. Step 4: Simplify right side
    5,301.80x = 23,564,969.34
  5. Step 5: Solve for x
    x = 23,564,969.34/5,301.80
  6. Step 6: Final answer
    x = 4,444.71

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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.