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Finding the Fourth Proportional to 11,808, 16,295.52 and 6,503.28

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Solution

The fourth proportional to 11,808, 16,295.52 and 6,503.28 is: 8,974.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,808 : 16,295.52 = 6,503.28 : x
  2. Step 2: Convert to fraction form
    11,808/16,295.52 = 6,503.28/x
  3. Step 3: Cross multiply
    11,808x = 16,295.52 × 6,503.28
  4. Step 4: Simplify right side
    11,808x = 105,974,329.31
  5. Step 5: Solve for x
    x = 105,974,329.31/11,808
  6. Step 6: Final answer
    x = 8,974.79

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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.