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Finding the Fourth Proportional to 14,504.64, 21,719.10 and 7,917.21

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Solution

The fourth proportional to 14,504.64, 21,719.10 and 7,917.21 is: 11,855.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,504.64 : 21,719.10 = 7,917.21 : x
  2. Step 2: Convert to fraction form
    14,504.64/21,719.10 = 7,917.21/x
  3. Step 3: Cross multiply
    14,504.64x = 21,719.10 × 7,917.21
  4. Step 4: Simplify right side
    14,504.64x = 171,954,675.71
  5. Step 5: Solve for x
    x = 171,954,675.71/14,504.64
  6. Step 6: Final answer
    x = 11,855.15

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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.