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Finding the Fourth Proportional to 30,473.52, 45,691.84 and 19,930.82

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Solution

The fourth proportional to 30,473.52, 45,691.84 and 19,930.82 is: 29,884.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,473.52 : 45,691.84 = 19,930.82 : x
  2. Step 2: Convert to fraction form
    30,473.52/45,691.84 = 19,930.82/x
  3. Step 3: Cross multiply
    30,473.52x = 45,691.84 × 19,930.82
  4. Step 4: Simplify right side
    30,473.52x = 910,675,838.51
  5. Step 5: Solve for x
    x = 910,675,838.51/30,473.52
  6. Step 6: Final answer
    x = 29,884.17

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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.