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Finding the Fourth Proportional to 1,956.56, 2,933.76 and 803.12

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Solution

The fourth proportional to 1,956.56, 2,933.76 and 803.12 is: 1,204.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,956.56 : 2,933.76 = 803.12 : x
  2. Step 2: Convert to fraction form
    1,956.56/2,933.76 = 803.12/x
  3. Step 3: Cross multiply
    1,956.56x = 2,933.76 × 803.12
  4. Step 4: Simplify right side
    1,956.56x = 2,356,161.33
  5. Step 5: Solve for x
    x = 2,356,161.33/1,956.56
  6. Step 6: Final answer
    x = 1,204.24

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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.