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Finding the Fourth Proportional to 2,326.12, 3,488.50 and 682.63

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Solution

The fourth proportional to 2,326.12, 3,488.50 and 682.63 is: 1,023.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,326.12 : 3,488.50 = 682.63 : x
  2. Step 2: Convert to fraction form
    2,326.12/3,488.50 = 682.63/x
  3. Step 3: Cross multiply
    2,326.12x = 3,488.50 × 682.63
  4. Step 4: Simplify right side
    2,326.12x = 2,381,346.89
  5. Step 5: Solve for x
    x = 2,381,346.89/2,326.12
  6. Step 6: Final answer
    x = 1,023.74

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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.