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Finding the Fourth Proportional to 9,639.98, 13,298.97 and 5,654.17

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Solution

The fourth proportional to 9,639.98, 13,298.97 and 5,654.17 is: 7,800.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,639.98 : 13,298.97 = 5,654.17 : x
  2. Step 2: Convert to fraction form
    9,639.98/13,298.97 = 5,654.17/x
  3. Step 3: Cross multiply
    9,639.98x = 13,298.97 × 5,654.17
  4. Step 4: Simplify right side
    9,639.98x = 75,194,542.44
  5. Step 5: Solve for x
    x = 75,194,542.44/9,639.98
  6. Step 6: Final answer
    x = 7,800.28

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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.