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Finding the Fourth Proportional to 14,460.31, 21,685 and 7,882.91

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Solution

The fourth proportional to 14,460.31, 21,685 and 7,882.91 is: 11,821.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460.31 : 21,685 = 7,882.91 : x
  2. Step 2: Convert to fraction form
    14,460.31/21,685 = 7,882.91/x
  3. Step 3: Cross multiply
    14,460.31x = 21,685 × 7,882.91
  4. Step 4: Simplify right side
    14,460.31x = 170,940,903.35
  5. Step 5: Solve for x
    x = 170,940,903.35/14,460.31
  6. Step 6: Final answer
    x = 11,821.39

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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.