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Finding the Fourth Proportional to 23,165, 31,967.66 and 12,554.64

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Solution

The fourth proportional to 23,165, 31,967.66 and 12,554.64 is: 17,325.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,165 : 31,967.66 = 12,554.64 : x
  2. Step 2: Convert to fraction form
    23,165/31,967.66 = 12,554.64/x
  3. Step 3: Cross multiply
    23,165x = 31,967.66 × 12,554.64
  4. Step 4: Simplify right side
    23,165x = 401,342,462.94
  5. Step 5: Solve for x
    x = 401,342,462.94/23,165
  6. Step 6: Final answer
    x = 17,325.38

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Half scale
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Double scale
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Similar ratio
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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.