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Finding the Fourth Proportional to 14,339.68, 21,515.03 and 6,943.57

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Solution

The fourth proportional to 14,339.68, 21,515.03 and 6,943.57 is: 10,418.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,339.68 : 21,515.03 = 6,943.57 : x
  2. Step 2: Convert to fraction form
    14,339.68/21,515.03 = 6,943.57/x
  3. Step 3: Cross multiply
    14,339.68x = 21,515.03 × 6,943.57
  4. Step 4: Simplify right side
    14,339.68x = 149,391,080.43
  5. Step 5: Solve for x
    x = 149,391,080.43/14,339.68
  6. Step 6: Final answer
    x = 10,418.02

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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.