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Finding the Fourth Proportional to 5,174.13, 7,762 and 1,712.19

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Solution

The fourth proportional to 5,174.13, 7,762 and 1,712.19 is: 2,568.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.13 : 7,762 = 1,712.19 : x
  2. Step 2: Convert to fraction form
    5,174.13/7,762 = 1,712.19/x
  3. Step 3: Cross multiply
    5,174.13x = 7,762 × 1,712.19
  4. Step 4: Simplify right side
    5,174.13x = 13,290,018.78
  5. Step 5: Solve for x
    x = 13,290,018.78/5,174.13
  6. Step 6: Final answer
    x = 2,568.55

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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.