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Finding the Fourth Proportional to 7,221.09, 10,831.54 and 2,290.77

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Solution

The fourth proportional to 7,221.09, 10,831.54 and 2,290.77 is: 3,436.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.09 : 10,831.54 = 2,290.77 : x
  2. Step 2: Convert to fraction form
    7,221.09/10,831.54 = 2,290.77/x
  3. Step 3: Cross multiply
    7,221.09x = 10,831.54 × 2,290.77
  4. Step 4: Simplify right side
    7,221.09x = 24,812,501.27
  5. Step 5: Solve for x
    x = 24,812,501.27/7,221.09
  6. Step 6: Final answer
    x = 3,436.12

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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.