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Finding the Fourth Proportional to 5,170.68, 7,749.86 and 3,602.19

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Solution

The fourth proportional to 5,170.68, 7,749.86 and 3,602.19 is: 5,398.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.68 : 7,749.86 = 3,602.19 : x
  2. Step 2: Convert to fraction form
    5,170.68/7,749.86 = 3,602.19/x
  3. Step 3: Cross multiply
    5,170.68x = 7,749.86 × 3,602.19
  4. Step 4: Simplify right side
    5,170.68x = 27,916,450.18
  5. Step 5: Solve for x
    x = 27,916,450.18/5,170.68
  6. Step 6: Final answer
    x = 5,398.99

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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.