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Finding the Fourth Proportional to 7,889.76, 11,831.04 and 2,693.52

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Solution

The fourth proportional to 7,889.76, 11,831.04 and 2,693.52 is: 4,039.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,889.76 : 11,831.04 = 2,693.52 : x
  2. Step 2: Convert to fraction form
    7,889.76/11,831.04 = 2,693.52/x
  3. Step 3: Cross multiply
    7,889.76x = 11,831.04 × 2,693.52
  4. Step 4: Simplify right side
    7,889.76x = 31,867,142.86
  5. Step 5: Solve for x
    x = 31,867,142.86/7,889.76
  6. Step 6: Final answer
    x = 4,039.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.