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Finding the Fourth Proportional to 30,380.67, 45,579.78 and 9,323.82

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Solution

The fourth proportional to 30,380.67, 45,579.78 and 9,323.82 is: 13,988.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,380.67 : 45,579.78 = 9,323.82 : x
  2. Step 2: Convert to fraction form
    30,380.67/45,579.78 = 9,323.82/x
  3. Step 3: Cross multiply
    30,380.67x = 45,579.78 × 9,323.82
  4. Step 4: Simplify right side
    30,380.67x = 424,977,664.36
  5. Step 5: Solve for x
    x = 424,977,664.36/30,380.67
  6. Step 6: Final answer
    x = 13,988.42

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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.