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Finding the Fourth Proportional to 14,661.64, 21,964.11 and 9,117.19

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Solution

The fourth proportional to 14,661.64, 21,964.11 and 9,117.19 is: 13,658.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.64 : 21,964.11 = 9,117.19 : x
  2. Step 2: Convert to fraction form
    14,661.64/21,964.11 = 9,117.19/x
  3. Step 3: Cross multiply
    14,661.64x = 21,964.11 × 9,117.19
  4. Step 4: Simplify right side
    14,661.64x = 200,250,964.05
  5. Step 5: Solve for x
    x = 200,250,964.05/14,661.64
  6. Step 6: Final answer
    x = 13,658.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.