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Finding the Fourth Proportional to 7,831.12, 10,812 and 5,731.60

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Solution

The fourth proportional to 7,831.12, 10,812 and 5,731.60 is: 7,913.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,831.12 : 10,812 = 5,731.60 : x
  2. Step 2: Convert to fraction form
    7,831.12/10,812 = 5,731.60/x
  3. Step 3: Cross multiply
    7,831.12x = 10,812 × 5,731.60
  4. Step 4: Simplify right side
    7,831.12x = 61,970,059.20
  5. Step 5: Solve for x
    x = 61,970,059.20/7,831.12
  6. Step 6: Final answer
    x = 7,913.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.