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Finding the Fourth Proportional to 7,121.66, 10,722 and 5,570.06

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Solution

The fourth proportional to 7,121.66, 10,722 and 5,570.06 is: 8,385.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,121.66 : 10,722 = 5,570.06 : x
  2. Step 2: Convert to fraction form
    7,121.66/10,722 = 5,570.06/x
  3. Step 3: Cross multiply
    7,121.66x = 10,722 × 5,570.06
  4. Step 4: Simplify right side
    7,121.66x = 59,722,183.32
  5. Step 5: Solve for x
    x = 59,722,183.32/7,121.66
  6. Step 6: Final answer
    x = 8,385.99

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.