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Finding the Fourth Proportional to 23,132, 31,926.48 and 13,196

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Solution

The fourth proportional to 23,132, 31,926.48 and 13,196 is: 18,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,132 : 31,926.48 = 13,196 : x
  2. Step 2: Convert to fraction form
    23,132/31,926.48 = 13,196/x
  3. Step 3: Cross multiply
    23,132x = 31,926.48 × 13,196
  4. Step 4: Simplify right side
    23,132x = 421,301,830.08
  5. Step 5: Solve for x
    x = 421,301,830.08/23,132
  6. Step 6: Final answer
    x = 18,212.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.