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Finding the Fourth Proportional to 7,099, 9,796.80 and 3,955.12

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Solution

The fourth proportional to 7,099, 9,796.80 and 3,955.12 is: 5,458.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099 : 9,796.80 = 3,955.12 : x
  2. Step 2: Convert to fraction form
    7,099/9,796.80 = 3,955.12/x
  3. Step 3: Cross multiply
    7,099x = 9,796.80 × 3,955.12
  4. Step 4: Simplify right side
    7,099x = 38,747,519.62
  5. Step 5: Solve for x
    x = 38,747,519.62/7,099
  6. Step 6: Final answer
    x = 5,458.17

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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.