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Finding the Fourth Proportional to 7,887.54, 11,831.25 and 2,340.42

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Solution

The fourth proportional to 7,887.54, 11,831.25 and 2,340.42 is: 3,510.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,887.54 : 11,831.25 = 2,340.42 : x
  2. Step 2: Convert to fraction form
    7,887.54/11,831.25 = 2,340.42/x
  3. Step 3: Cross multiply
    7,887.54x = 11,831.25 × 2,340.42
  4. Step 4: Simplify right side
    7,887.54x = 27,690,094.13
  5. Step 5: Solve for x
    x = 27,690,094.13/7,887.54
  6. Step 6: Final answer
    x = 3,510.61

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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.