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Finding the Fourth Proportional to 11,809.66, 16,305.17 and 7,340.08

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Solution

The fourth proportional to 11,809.66, 16,305.17 and 7,340.08 is: 10,134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,809.66 : 16,305.17 = 7,340.08 : x
  2. Step 2: Convert to fraction form
    11,809.66/16,305.17 = 7,340.08/x
  3. Step 3: Cross multiply
    11,809.66x = 16,305.17 × 7,340.08
  4. Step 4: Simplify right side
    11,809.66x = 119,681,252.21
  5. Step 5: Solve for x
    x = 119,681,252.21/11,809.66
  6. Step 6: Final answer
    x = 10,134.18

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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.