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Finding the Fourth Proportional to 8,649.68, 11,936.84 and 5,294

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Solution

The fourth proportional to 8,649.68, 11,936.84 and 5,294 is: 7,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,649.68 : 11,936.84 = 5,294 : x
  2. Step 2: Convert to fraction form
    8,649.68/11,936.84 = 5,294/x
  3. Step 3: Cross multiply
    8,649.68x = 11,936.84 × 5,294
  4. Step 4: Simplify right side
    8,649.68x = 63,193,630.96
  5. Step 5: Solve for x
    x = 63,193,630.96/8,649.68
  6. Step 6: Final answer
    x = 7,305.89

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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.