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Finding the Fourth Proportional to 7,534.49, 10,398.80 and 7,202.28

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Solution

The fourth proportional to 7,534.49, 10,398.80 and 7,202.28 is: 9,940.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,534.49 : 10,398.80 = 7,202.28 : x
  2. Step 2: Convert to fraction form
    7,534.49/10,398.80 = 7,202.28/x
  3. Step 3: Cross multiply
    7,534.49x = 10,398.80 × 7,202.28
  4. Step 4: Simplify right side
    7,534.49x = 74,895,033.25
  5. Step 5: Solve for x
    x = 74,895,033.25/7,534.49
  6. Step 6: Final answer
    x = 9,940.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.