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Finding the Fourth Proportional to 5,647.86, 7,791.41 and 3,553.14

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Solution

The fourth proportional to 5,647.86, 7,791.41 and 3,553.14 is: 4,901.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.86 : 7,791.41 = 3,553.14 : x
  2. Step 2: Convert to fraction form
    5,647.86/7,791.41 = 3,553.14/x
  3. Step 3: Cross multiply
    5,647.86x = 7,791.41 × 3,553.14
  4. Step 4: Simplify right side
    5,647.86x = 27,683,970.53
  5. Step 5: Solve for x
    x = 27,683,970.53/5,647.86
  6. Step 6: Final answer
    x = 4,901.67

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1.5x scale

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.