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Finding the Fourth Proportional to 21,184.71, 29,231.87 and 12,684.80

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Solution

The fourth proportional to 21,184.71, 29,231.87 and 12,684.80 is: 17,503.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,184.71 : 29,231.87 = 12,684.80 : x
  2. Step 2: Convert to fraction form
    21,184.71/29,231.87 = 12,684.80/x
  3. Step 3: Cross multiply
    21,184.71x = 29,231.87 × 12,684.80
  4. Step 4: Simplify right side
    21,184.71x = 370,800,214.99
  5. Step 5: Solve for x
    x = 370,800,214.99/21,184.71
  6. Step 6: Final answer
    x = 17,503.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.