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Finding the Fourth Proportional to 14,571.64, 21,852.10 and 5,209.12

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Solution

The fourth proportional to 14,571.64, 21,852.10 and 5,209.12 is: 7,811.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,571.64 : 21,852.10 = 5,209.12 : x
  2. Step 2: Convert to fraction form
    14,571.64/21,852.10 = 5,209.12/x
  3. Step 3: Cross multiply
    14,571.64x = 21,852.10 × 5,209.12
  4. Step 4: Simplify right side
    14,571.64x = 113,830,211.15
  5. Step 5: Solve for x
    x = 113,830,211.15/14,571.64
  6. Step 6: Final answer
    x = 7,811.76

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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.