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Finding the Fourth Proportional to 16,640.64, 22,964.07 and 9,188.64

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Solution

The fourth proportional to 16,640.64, 22,964.07 and 9,188.64 is: 12,680.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,640.64 : 22,964.07 = 9,188.64 : x
  2. Step 2: Convert to fraction form
    16,640.64/22,964.07 = 9,188.64/x
  3. Step 3: Cross multiply
    16,640.64x = 22,964.07 × 9,188.64
  4. Step 4: Simplify right side
    16,640.64x = 211,008,572.16
  5. Step 5: Solve for x
    x = 211,008,572.16/16,640.64
  6. Step 6: Final answer
    x = 12,680.32

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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.