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Finding the Fourth Proportional to 14,460, 21,693.06 and 8,223

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Solution

The fourth proportional to 14,460, 21,693.06 and 8,223 is: 12,336.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,460 : 21,693.06 = 8,223 : x
  2. Step 2: Convert to fraction form
    14,460/21,693.06 = 8,223/x
  3. Step 3: Cross multiply
    14,460x = 21,693.06 × 8,223
  4. Step 4: Simplify right side
    14,460x = 178,382,032.38
  5. Step 5: Solve for x
    x = 178,382,032.38/14,460
  6. Step 6: Final answer
    x = 12,336.24

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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.