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Finding the Fourth Proportional to 10,266, 14,168.16 and 6,289.80

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Solution

The fourth proportional to 10,266, 14,168.16 and 6,289.80 is: 8,680.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,266 : 14,168.16 = 6,289.80 : x
  2. Step 2: Convert to fraction form
    10,266/14,168.16 = 6,289.80/x
  3. Step 3: Cross multiply
    10,266x = 14,168.16 × 6,289.80
  4. Step 4: Simplify right side
    10,266x = 89,114,892.77
  5. Step 5: Solve for x
    x = 89,114,892.77/10,266
  6. Step 6: Final answer
    x = 8,680.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.