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Finding the Fourth Proportional to 28,571.64, 42,831.21 and 9,847.23

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Solution

The fourth proportional to 28,571.64, 42,831.21 and 9,847.23 is: 14,761.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,571.64 : 42,831.21 = 9,847.23 : x
  2. Step 2: Convert to fraction form
    28,571.64/42,831.21 = 9,847.23/x
  3. Step 3: Cross multiply
    28,571.64x = 42,831.21 × 9,847.23
  4. Step 4: Simplify right side
    28,571.64x = 421,768,776.05
  5. Step 5: Solve for x
    x = 421,768,776.05/28,571.64
  6. Step 6: Final answer
    x = 14,761.80

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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.