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Finding the Fourth Proportional to 3,656.21, 5,484.27 and 882.87

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Solution

The fourth proportional to 3,656.21, 5,484.27 and 882.87 is: 1,324.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.21 : 5,484.27 = 882.87 : x
  2. Step 2: Convert to fraction form
    3,656.21/5,484.27 = 882.87/x
  3. Step 3: Cross multiply
    3,656.21x = 5,484.27 × 882.87
  4. Step 4: Simplify right side
    3,656.21x = 4,841,872.75
  5. Step 5: Solve for x
    x = 4,841,872.75/3,656.21
  6. Step 6: Final answer
    x = 1,324.29

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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.