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Finding the Fourth Proportional to 2,798.72, 4,194.96 and 1,153.76

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Solution

The fourth proportional to 2,798.72, 4,194.96 and 1,153.76 is: 1,729.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,798.72 : 4,194.96 = 1,153.76 : x
  2. Step 2: Convert to fraction form
    2,798.72/4,194.96 = 1,153.76/x
  3. Step 3: Cross multiply
    2,798.72x = 4,194.96 × 1,153.76
  4. Step 4: Simplify right side
    2,798.72x = 4,839,977.05
  5. Step 5: Solve for x
    x = 4,839,977.05/2,798.72
  6. Step 6: Final answer
    x = 1,729.35

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1.5x scale

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.