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Finding the Fourth Proportional to 30,179.36, 45,273.90 and 9,398

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Solution

The fourth proportional to 30,179.36, 45,273.90 and 9,398 is: 14,098.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,179.36 : 45,273.90 = 9,398 : x
  2. Step 2: Convert to fraction form
    30,179.36/45,273.90 = 9,398/x
  3. Step 3: Cross multiply
    30,179.36x = 45,273.90 × 9,398
  4. Step 4: Simplify right side
    30,179.36x = 425,484,112.20
  5. Step 5: Solve for x
    x = 425,484,112.20/30,179.36
  6. Step 6: Final answer
    x = 14,098.51

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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.