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Finding the Fourth Proportional to 3,564, 5,347.89 and 1,832.76

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Solution

The fourth proportional to 3,564, 5,347.89 and 1,832.76 is: 2,750.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 5,347.89 = 1,832.76 : x
  2. Step 2: Convert to fraction form
    3,564/5,347.89 = 1,832.76/x
  3. Step 3: Cross multiply
    3,564x = 5,347.89 × 1,832.76
  4. Step 4: Simplify right side
    3,564x = 9,801,398.88
  5. Step 5: Solve for x
    x = 9,801,398.88/3,564
  6. Step 6: Final answer
    x = 2,750.11

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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.