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Finding the Fourth Proportional to 10,461.81, 15,668.01 and 8,255.82

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Solution

The fourth proportional to 10,461.81, 15,668.01 and 8,255.82 is: 12,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,461.81 : 15,668.01 = 8,255.82 : x
  2. Step 2: Convert to fraction form
    10,461.81/15,668.01 = 8,255.82/x
  3. Step 3: Cross multiply
    10,461.81x = 15,668.01 × 8,255.82
  4. Step 4: Simplify right side
    10,461.81x = 129,352,270.32
  5. Step 5: Solve for x
    x = 129,352,270.32/10,461.81
  6. Step 6: Final answer
    x = 12,364.23

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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.