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Finding the Fourth Proportional to 9,585.23, 13,229.93 and 6,398.69

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Solution

The fourth proportional to 9,585.23, 13,229.93 and 6,398.69 is: 8,831.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,585.23 : 13,229.93 = 6,398.69 : x
  2. Step 2: Convert to fraction form
    9,585.23/13,229.93 = 6,398.69/x
  3. Step 3: Cross multiply
    9,585.23x = 13,229.93 × 6,398.69
  4. Step 4: Simplify right side
    9,585.23x = 84,654,170.64
  5. Step 5: Solve for x
    x = 84,654,170.64/9,585.23
  6. Step 6: Final answer
    x = 8,831.74

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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.