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Finding the Fourth Proportional to 1,214.94, 1,819.67 and 851.35

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Solution

The fourth proportional to 1,214.94, 1,819.67 and 851.35 is: 1,275.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.94 : 1,819.67 = 851.35 : x
  2. Step 2: Convert to fraction form
    1,214.94/1,819.67 = 851.35/x
  3. Step 3: Cross multiply
    1,214.94x = 1,819.67 × 851.35
  4. Step 4: Simplify right side
    1,214.94x = 1,549,176.05
  5. Step 5: Solve for x
    x = 1,549,176.05/1,214.94
  6. Step 6: Final answer
    x = 1,275.10

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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.