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Finding the Fourth Proportional to 30,386, 41,934.12 and 17,138

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Solution

The fourth proportional to 30,386, 41,934.12 and 17,138 is: 23,651.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,386 : 41,934.12 = 17,138 : x
  2. Step 2: Convert to fraction form
    30,386/41,934.12 = 17,138/x
  3. Step 3: Cross multiply
    30,386x = 41,934.12 × 17,138
  4. Step 4: Simplify right side
    30,386x = 718,666,948.56
  5. Step 5: Solve for x
    x = 718,666,948.56/30,386
  6. Step 6: Final answer
    x = 23,651.25

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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.