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Finding the Fourth Proportional to 7,831.50, 10,807.11 and 4,689.42

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Solution

The fourth proportional to 7,831.50, 10,807.11 and 4,689.42 is: 6,471.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.50 : 10,807.11 = 4,689.42 : x
  2. Step 2: Convert to fraction form
    7,831.50/10,807.11 = 4,689.42/x
  3. Step 3: Cross multiply
    7,831.50x = 10,807.11 × 4,689.42
  4. Step 4: Simplify right side
    7,831.50x = 50,679,077.78
  5. Step 5: Solve for x
    x = 50,679,077.78/7,831.50
  6. Step 6: Final answer
    x = 6,471.18

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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.