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Finding the Fourth Proportional to 6,853, 10,279.68 and 2,236

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Solution

The fourth proportional to 6,853, 10,279.68 and 2,236 is: 3,354.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853 : 10,279.68 = 2,236 : x
  2. Step 2: Convert to fraction form
    6,853/10,279.68 = 2,236/x
  3. Step 3: Cross multiply
    6,853x = 10,279.68 × 2,236
  4. Step 4: Simplify right side
    6,853x = 22,985,364.48
  5. Step 5: Solve for x
    x = 22,985,364.48/6,853
  6. Step 6: Final answer
    x = 3,354.06

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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.