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Finding the Fourth Proportional to 7,610.50, 11,381.52 and 5,831.98

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Solution

The fourth proportional to 7,610.50, 11,381.52 and 5,831.98 is: 8,721.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,610.50 : 11,381.52 = 5,831.98 : x
  2. Step 2: Convert to fraction form
    7,610.50/11,381.52 = 5,831.98/x
  3. Step 3: Cross multiply
    7,610.50x = 11,381.52 × 5,831.98
  4. Step 4: Simplify right side
    7,610.50x = 66,376,797.01
  5. Step 5: Solve for x
    x = 66,376,797.01/7,610.50
  6. Step 6: Final answer
    x = 8,721.74

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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.