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Finding the Fourth Proportional to 12,564, 17,336.40 and 6,974.88

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Solution

The fourth proportional to 12,564, 17,336.40 and 6,974.88 is: 9,624.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564 : 17,336.40 = 6,974.88 : x
  2. Step 2: Convert to fraction form
    12,564/17,336.40 = 6,974.88/x
  3. Step 3: Cross multiply
    12,564x = 17,336.40 × 6,974.88
  4. Step 4: Simplify right side
    12,564x = 120,919,309.63
  5. Step 5: Solve for x
    x = 120,919,309.63/12,564
  6. Step 6: Final answer
    x = 9,624.27

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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.