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Finding the Fourth Proportional to 5,717.17, 7,879 and 4,121.06

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Solution

The fourth proportional to 5,717.17, 7,879 and 4,121.06 is: 5,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,717.17 : 7,879 = 4,121.06 : x
  2. Step 2: Convert to fraction form
    5,717.17/7,879 = 4,121.06/x
  3. Step 3: Cross multiply
    5,717.17x = 7,879 × 4,121.06
  4. Step 4: Simplify right side
    5,717.17x = 32,469,792.35
  5. Step 5: Solve for x
    x = 32,469,792.35/5,717.17
  6. Step 6: Final answer
    x = 5,679.35

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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.