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Finding the Fourth Proportional to 7,125.98, 9,831.66 and 4,141.25

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Solution

The fourth proportional to 7,125.98, 9,831.66 and 4,141.25 is: 5,713.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,125.98 : 9,831.66 = 4,141.25 : x
  2. Step 2: Convert to fraction form
    7,125.98/9,831.66 = 4,141.25/x
  3. Step 3: Cross multiply
    7,125.98x = 9,831.66 × 4,141.25
  4. Step 4: Simplify right side
    7,125.98x = 40,715,361.98
  5. Step 5: Solve for x
    x = 40,715,361.98/7,125.98
  6. Step 6: Final answer
    x = 5,713.65

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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.