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Finding the Fourth Proportional to 5,652.90, 7,801.38 and 3,135.81

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Solution

The fourth proportional to 5,652.90, 7,801.38 and 3,135.81 is: 4,327.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,652.90 : 7,801.38 = 3,135.81 : x
  2. Step 2: Convert to fraction form
    5,652.90/7,801.38 = 3,135.81/x
  3. Step 3: Cross multiply
    5,652.90x = 7,801.38 × 3,135.81
  4. Step 4: Simplify right side
    5,652.90x = 24,463,645.42
  5. Step 5: Solve for x
    x = 24,463,645.42/5,652.90
  6. Step 6: Final answer
    x = 4,327.63

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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.