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Finding the Fourth Proportional to 11,813.80, 16,302.78 and 6,508.48

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Solution

The fourth proportional to 11,813.80, 16,302.78 and 6,508.48 is: 8,981.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,813.80 : 16,302.78 = 6,508.48 : x
  2. Step 2: Convert to fraction form
    11,813.80/16,302.78 = 6,508.48/x
  3. Step 3: Cross multiply
    11,813.80x = 16,302.78 × 6,508.48
  4. Step 4: Simplify right side
    11,813.80x = 106,106,317.57
  5. Step 5: Solve for x
    x = 106,106,317.57/11,813.80
  6. Step 6: Final answer
    x = 8,981.56

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1.5x scale

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.