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Finding the Fourth Proportional to 7,831.49, 11,726.04 and 5,735.61

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Solution

The fourth proportional to 7,831.49, 11,726.04 and 5,735.61 is: 8,587.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.49 : 11,726.04 = 5,735.61 : x
  2. Step 2: Convert to fraction form
    7,831.49/11,726.04 = 5,735.61/x
  3. Step 3: Cross multiply
    7,831.49x = 11,726.04 × 5,735.61
  4. Step 4: Simplify right side
    7,831.49x = 67,255,992.28
  5. Step 5: Solve for x
    x = 67,255,992.28/7,831.49
  6. Step 6: Final answer
    x = 8,587.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.