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Finding the Fourth Proportional to 1,216.35, 1,822.10 and 891.95

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Solution

The fourth proportional to 1,216.35, 1,822.10 and 891.95 is: 1,336.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.35 : 1,822.10 = 891.95 : x
  2. Step 2: Convert to fraction form
    1,216.35/1,822.10 = 891.95/x
  3. Step 3: Cross multiply
    1,216.35x = 1,822.10 × 891.95
  4. Step 4: Simplify right side
    1,216.35x = 1,625,208.52
  5. Step 5: Solve for x
    x = 1,625,208.52/1,216.35
  6. Step 6: Final answer
    x = 1,336.14

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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.