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Finding the Fourth Proportional to 9,678.26, 13,355.61 and 5,699.54

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Solution

The fourth proportional to 9,678.26, 13,355.61 and 5,699.54 is: 7,865.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.26 : 13,355.61 = 5,699.54 : x
  2. Step 2: Convert to fraction form
    9,678.26/13,355.61 = 5,699.54/x
  3. Step 3: Cross multiply
    9,678.26x = 13,355.61 × 5,699.54
  4. Step 4: Simplify right side
    9,678.26x = 76,120,833.42
  5. Step 5: Solve for x
    x = 76,120,833.42/9,678.26
  6. Step 6: Final answer
    x = 7,865.14

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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.