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Finding the Fourth Proportional to 7,729.97, 10,669.32 and 4,899.02

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Solution

The fourth proportional to 7,729.97, 10,669.32 and 4,899.02 is: 6,761.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.97 : 10,669.32 = 4,899.02 : x
  2. Step 2: Convert to fraction form
    7,729.97/10,669.32 = 4,899.02/x
  3. Step 3: Cross multiply
    7,729.97x = 10,669.32 × 4,899.02
  4. Step 4: Simplify right side
    7,729.97x = 52,269,158.72
  5. Step 5: Solve for x
    x = 52,269,158.72/7,729.97
  6. Step 6: Final answer
    x = 6,761.89

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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.