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Finding the Fourth Proportional to 1,272.76, 1,894.67 and 1,213.12

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Solution

The fourth proportional to 1,272.76, 1,894.67 and 1,213.12 is: 1,805.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.76 : 1,894.67 = 1,213.12 : x
  2. Step 2: Convert to fraction form
    1,272.76/1,894.67 = 1,213.12/x
  3. Step 3: Cross multiply
    1,272.76x = 1,894.67 × 1,213.12
  4. Step 4: Simplify right side
    1,272.76x = 2,298,462.07
  5. Step 5: Solve for x
    x = 2,298,462.07/1,272.76
  6. Step 6: Final answer
    x = 1,805.89

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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.