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Finding the Fourth Proportional to 7,767.54, 10,720.98 and 5,074.02

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Solution

The fourth proportional to 7,767.54, 10,720.98 and 5,074.02 is: 7,003.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,767.54 : 10,720.98 = 5,074.02 : x
  2. Step 2: Convert to fraction form
    7,767.54/10,720.98 = 5,074.02/x
  3. Step 3: Cross multiply
    7,767.54x = 10,720.98 × 5,074.02
  4. Step 4: Simplify right side
    7,767.54x = 54,398,466.94
  5. Step 5: Solve for x
    x = 54,398,466.94/7,767.54
  6. Step 6: Final answer
    x = 7,003.31

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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.