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Finding the Fourth Proportional to 1,272.80, 1,899.98 and 1,100.57

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Solution

The fourth proportional to 1,272.80, 1,899.98 and 1,100.57 is: 1,642.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.80 : 1,899.98 = 1,100.57 : x
  2. Step 2: Convert to fraction form
    1,272.80/1,899.98 = 1,100.57/x
  3. Step 3: Cross multiply
    1,272.80x = 1,899.98 × 1,100.57
  4. Step 4: Simplify right side
    1,272.80x = 2,091,045.99
  5. Step 5: Solve for x
    x = 2,091,045.99/1,272.80
  6. Step 6: Final answer
    x = 1,642.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.