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Finding the Fourth Proportional to 10,682.36, 16,001.78 and 8,715

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Solution

The fourth proportional to 10,682.36, 16,001.78 and 8,715 is: 13,054.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,682.36 : 16,001.78 = 8,715 : x
  2. Step 2: Convert to fraction form
    10,682.36/16,001.78 = 8,715/x
  3. Step 3: Cross multiply
    10,682.36x = 16,001.78 × 8,715
  4. Step 4: Simplify right side
    10,682.36x = 139,455,512.70
  5. Step 5: Solve for x
    x = 139,455,512.70/10,682.36
  6. Step 6: Final answer
    x = 13,054.75

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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.