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Finding the Fourth Proportional to 2,186.39, 3,275.94 and 951.95

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Solution

The fourth proportional to 2,186.39, 3,275.94 and 951.95 is: 1,426.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.39 : 3,275.94 = 951.95 : x
  2. Step 2: Convert to fraction form
    2,186.39/3,275.94 = 951.95/x
  3. Step 3: Cross multiply
    2,186.39x = 3,275.94 × 951.95
  4. Step 4: Simplify right side
    2,186.39x = 3,118,526.32
  5. Step 5: Solve for x
    x = 3,118,526.32/2,186.39
  6. Step 6: Final answer
    x = 1,426.34

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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.