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Finding the Fourth Proportional to 3,456.86, 5,184.54 and 991.64

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Solution

The fourth proportional to 3,456.86, 5,184.54 and 991.64 is: 1,487.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.86 : 5,184.54 = 991.64 : x
  2. Step 2: Convert to fraction form
    3,456.86/5,184.54 = 991.64/x
  3. Step 3: Cross multiply
    3,456.86x = 5,184.54 × 991.64
  4. Step 4: Simplify right side
    3,456.86x = 5,141,197.25
  5. Step 5: Solve for x
    x = 5,141,197.25/3,456.86
  6. Step 6: Final answer
    x = 1,487.24

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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.