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Finding the Fourth Proportional to 31,396, 43,330.32 and 18,148

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Solution

The fourth proportional to 31,396, 43,330.32 and 18,148 is: 25,046.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396 : 43,330.32 = 18,148 : x
  2. Step 2: Convert to fraction form
    31,396/43,330.32 = 18,148/x
  3. Step 3: Cross multiply
    31,396x = 43,330.32 × 18,148
  4. Step 4: Simplify right side
    31,396x = 786,358,647.36
  5. Step 5: Solve for x
    x = 786,358,647.36/31,396
  6. Step 6: Final answer
    x = 25,046.46

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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.