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Finding the Fourth Proportional to 7,098.80, 9,796.45 and 3,955

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Solution

The fourth proportional to 7,098.80, 9,796.45 and 3,955 is: 5,457.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.80 : 9,796.45 = 3,955 : x
  2. Step 2: Convert to fraction form
    7,098.80/9,796.45 = 3,955/x
  3. Step 3: Cross multiply
    7,098.80x = 9,796.45 × 3,955
  4. Step 4: Simplify right side
    7,098.80x = 38,744,959.75
  5. Step 5: Solve for x
    x = 38,744,959.75/7,098.80
  6. Step 6: Final answer
    x = 5,457.96

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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.