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Finding the Fourth Proportional to 12,176.88, 18,263.22 and 3,409.74

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Solution

The fourth proportional to 12,176.88, 18,263.22 and 3,409.74 is: 5,114.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,176.88 : 18,263.22 = 3,409.74 : x
  2. Step 2: Convert to fraction form
    12,176.88/18,263.22 = 3,409.74/x
  3. Step 3: Cross multiply
    12,176.88x = 18,263.22 × 3,409.74
  4. Step 4: Simplify right side
    12,176.88x = 62,272,831.76
  5. Step 5: Solve for x
    x = 62,272,831.76/12,176.88
  6. Step 6: Final answer
    x = 5,114.02

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