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Finding the Fourth Proportional to 10,867, 16,300.62 and 2,659

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Solution

The fourth proportional to 10,867, 16,300.62 and 2,659 is: 3,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,867 : 16,300.62 = 2,659 : x
  2. Step 2: Convert to fraction form
    10,867/16,300.62 = 2,659/x
  3. Step 3: Cross multiply
    10,867x = 16,300.62 × 2,659
  4. Step 4: Simplify right side
    10,867x = 43,343,348.58
  5. Step 5: Solve for x
    x = 43,343,348.58/10,867
  6. Step 6: Final answer
    x = 3,988.53

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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.