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Finding the Fourth Proportional to 14,214, 21,328.68 and 6,918

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Solution

The fourth proportional to 14,214, 21,328.68 and 6,918 is: 10,380.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,214 : 21,328.68 = 6,918 : x
  2. Step 2: Convert to fraction form
    14,214/21,328.68 = 6,918/x
  3. Step 3: Cross multiply
    14,214x = 21,328.68 × 6,918
  4. Step 4: Simplify right side
    14,214x = 147,551,808.24
  5. Step 5: Solve for x
    x = 147,551,808.24/14,214
  6. Step 6: Final answer
    x = 10,380.74

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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.