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Finding the Fourth Proportional to 14,672, 21,974.40 and 8,821.76

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Solution

The fourth proportional to 14,672, 21,974.40 and 8,821.76 is: 13,212.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,672 : 21,974.40 = 8,821.76 : x
  2. Step 2: Convert to fraction form
    14,672/21,974.40 = 8,821.76/x
  3. Step 3: Cross multiply
    14,672x = 21,974.40 × 8,821.76
  4. Step 4: Simplify right side
    14,672x = 193,852,882.94
  5. Step 5: Solve for x
    x = 193,852,882.94/14,672
  6. Step 6: Final answer
    x = 13,212.44

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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.