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Finding the Fourth Proportional to 11,960.79, 16,507.16 and 9,122.95

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Solution

The fourth proportional to 11,960.79, 16,507.16 and 9,122.95 is: 12,590.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,960.79 : 16,507.16 = 9,122.95 : x
  2. Step 2: Convert to fraction form
    11,960.79/16,507.16 = 9,122.95/x
  3. Step 3: Cross multiply
    11,960.79x = 16,507.16 × 9,122.95
  4. Step 4: Simplify right side
    11,960.79x = 150,593,995.32
  5. Step 5: Solve for x
    x = 150,593,995.32/11,960.79
  6. Step 6: Final answer
    x = 12,590.64

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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.