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Finding the Fourth Proportional to 10,865.14, 16,297.71 and 8,687.66

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Solution

The fourth proportional to 10,865.14, 16,297.71 and 8,687.66 is: 13,031.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,865.14 : 16,297.71 = 8,687.66 : x
  2. Step 2: Convert to fraction form
    10,865.14/16,297.71 = 8,687.66/x
  3. Step 3: Cross multiply
    10,865.14x = 16,297.71 × 8,687.66
  4. Step 4: Simplify right side
    10,865.14x = 141,588,849.19
  5. Step 5: Solve for x
    x = 141,588,849.19/10,865.14
  6. Step 6: Final answer
    x = 13,031.48

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1.5x scale

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.