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Finding the Fourth Proportional to 1,199.96, 1,806.96 and 1,047.68

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Solution

The fourth proportional to 1,199.96, 1,806.96 and 1,047.68 is: 1,577.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.96 : 1,806.96 = 1,047.68 : x
  2. Step 2: Convert to fraction form
    1,199.96/1,806.96 = 1,047.68/x
  3. Step 3: Cross multiply
    1,199.96x = 1,806.96 × 1,047.68
  4. Step 4: Simplify right side
    1,199.96x = 1,893,115.85
  5. Step 5: Solve for x
    x = 1,893,115.85/1,199.96
  6. Step 6: Final answer
    x = 1,577.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.