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Finding the Fourth Proportional to 11,816, 16,305.90 and 6,511.32

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Solution

The fourth proportional to 11,816, 16,305.90 and 6,511.32 is: 8,985.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,816 : 16,305.90 = 6,511.32 : x
  2. Step 2: Convert to fraction form
    11,816/16,305.90 = 6,511.32/x
  3. Step 3: Cross multiply
    11,816x = 16,305.90 × 6,511.32
  4. Step 4: Simplify right side
    11,816x = 106,172,932.79
  5. Step 5: Solve for x
    x = 106,172,932.79/11,816
  6. Step 6: Final answer
    x = 8,985.52

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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.