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Finding the Fourth Proportional to 5,247, 7,871.72 and 3,783.53

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Solution

The fourth proportional to 5,247, 7,871.72 and 3,783.53 is: 5,676.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,247 : 7,871.72 = 3,783.53 : x
  2. Step 2: Convert to fraction form
    5,247/7,871.72 = 3,783.53/x
  3. Step 3: Cross multiply
    5,247x = 7,871.72 × 3,783.53
  4. Step 4: Simplify right side
    5,247x = 29,782,889.53
  5. Step 5: Solve for x
    x = 29,782,889.53/5,247
  6. Step 6: Final answer
    x = 5,676.17

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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.