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Finding the Fourth Proportional to 30,212, 45,320.56 and 8,324

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Solution

The fourth proportional to 30,212, 45,320.56 and 8,324 is: 12,486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,212 : 45,320.56 = 8,324 : x
  2. Step 2: Convert to fraction form
    30,212/45,320.56 = 8,324/x
  3. Step 3: Cross multiply
    30,212x = 45,320.56 × 8,324
  4. Step 4: Simplify right side
    30,212x = 377,248,341.44
  5. Step 5: Solve for x
    x = 377,248,341.44/30,212
  6. Step 6: Final answer
    x = 12,486.71

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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.