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Finding the Fourth Proportional to 14,721, 20,315.30 and 8,097

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Solution

The fourth proportional to 14,721, 20,315.30 and 8,097 is: 11,174.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,721 : 20,315.30 = 8,097 : x
  2. Step 2: Convert to fraction form
    14,721/20,315.30 = 8,097/x
  3. Step 3: Cross multiply
    14,721x = 20,315.30 × 8,097
  4. Step 4: Simplify right side
    14,721x = 164,492,984.10
  5. Step 5: Solve for x
    x = 164,492,984.10/14,721
  6. Step 6: Final answer
    x = 11,174.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.