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Finding the Fourth Proportional to 7,850.86, 10,831.48 and 4,865.60

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Solution

The fourth proportional to 7,850.86, 10,831.48 and 4,865.60 is: 6,712.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.86 : 10,831.48 = 4,865.60 : x
  2. Step 2: Convert to fraction form
    7,850.86/10,831.48 = 4,865.60/x
  3. Step 3: Cross multiply
    7,850.86x = 10,831.48 × 4,865.60
  4. Step 4: Simplify right side
    7,850.86x = 52,701,664.00
  5. Step 5: Solve for x
    x = 52,701,664.00/7,850.86
  6. Step 6: Final answer
    x = 6,712.85

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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.