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Finding the Fourth Proportional to 14,438, 21,665.64 and 6,230

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Solution

The fourth proportional to 14,438, 21,665.64 and 6,230 is: 9,348.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,438 : 21,665.64 = 6,230 : x
  2. Step 2: Convert to fraction form
    14,438/21,665.64 = 6,230/x
  3. Step 3: Cross multiply
    14,438x = 21,665.64 × 6,230
  4. Step 4: Simplify right side
    14,438x = 134,976,937.20
  5. Step 5: Solve for x
    x = 134,976,937.20/14,438
  6. Step 6: Final answer
    x = 9,348.73

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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.