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Finding the Fourth Proportional to 28,477.40, 42,716.10 and 11,831.90

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Solution

The fourth proportional to 28,477.40, 42,716.10 and 11,831.90 is: 17,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,477.40 : 42,716.10 = 11,831.90 : x
  2. Step 2: Convert to fraction form
    28,477.40/42,716.10 = 11,831.90/x
  3. Step 3: Cross multiply
    28,477.40x = 42,716.10 × 11,831.90
  4. Step 4: Simplify right side
    28,477.40x = 505,412,623.59
  5. Step 5: Solve for x
    x = 505,412,623.59/28,477.40
  6. Step 6: Final answer
    x = 17,747.85

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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.