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Finding the Fourth Proportional to 1,216.40, 1,826.76 and 851.90

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Solution

The fourth proportional to 1,216.40, 1,826.76 and 851.90 is: 1,279.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.40 : 1,826.76 = 851.90 : x
  2. Step 2: Convert to fraction form
    1,216.40/1,826.76 = 851.90/x
  3. Step 3: Cross multiply
    1,216.40x = 1,826.76 × 851.90
  4. Step 4: Simplify right side
    1,216.40x = 1,556,216.84
  5. Step 5: Solve for x
    x = 1,556,216.84/1,216.40
  6. Step 6: Final answer
    x = 1,279.36

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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.