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Finding the Fourth Proportional to 7,831.91, 10,822.34 and 5,703.73

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Solution

The fourth proportional to 7,831.91, 10,822.34 and 5,703.73 is: 7,881.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.91 : 10,822.34 = 5,703.73 : x
  2. Step 2: Convert to fraction form
    7,831.91/10,822.34 = 5,703.73/x
  3. Step 3: Cross multiply
    7,831.91x = 10,822.34 × 5,703.73
  4. Step 4: Simplify right side
    7,831.91x = 61,727,711.73
  5. Step 5: Solve for x
    x = 61,727,711.73/7,831.91
  6. Step 6: Final answer
    x = 7,881.57

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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.