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Finding the Fourth Proportional to 9,731.25, 13,428.12 and 5,482.17

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Solution

The fourth proportional to 9,731.25, 13,428.12 and 5,482.17 is: 7,564.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.25 : 13,428.12 = 5,482.17 : x
  2. Step 2: Convert to fraction form
    9,731.25/13,428.12 = 5,482.17/x
  3. Step 3: Cross multiply
    9,731.25x = 13,428.12 × 5,482.17
  4. Step 4: Simplify right side
    9,731.25x = 73,615,236.62
  5. Step 5: Solve for x
    x = 73,615,236.62/9,731.25
  6. Step 6: Final answer
    x = 7,564.83

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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.