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Finding the Fourth Proportional to 12,288.52, 16,949.01 and 9,630.64

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Solution

The fourth proportional to 12,288.52, 16,949.01 and 9,630.64 is: 13,283.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288.52 : 16,949.01 = 9,630.64 : x
  2. Step 2: Convert to fraction form
    12,288.52/16,949.01 = 9,630.64/x
  3. Step 3: Cross multiply
    12,288.52x = 16,949.01 × 9,630.64
  4. Step 4: Simplify right side
    12,288.52x = 163,229,813.67
  5. Step 5: Solve for x
    x = 163,229,813.67/12,288.52
  6. Step 6: Final answer
    x = 13,283.11

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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.