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Finding the Fourth Proportional to 30,544, 45,821.76 and 8,656

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Solution

The fourth proportional to 30,544, 45,821.76 and 8,656 is: 12,985.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,544 : 45,821.76 = 8,656 : x
  2. Step 2: Convert to fraction form
    30,544/45,821.76 = 8,656/x
  3. Step 3: Cross multiply
    30,544x = 45,821.76 × 8,656
  4. Step 4: Simplify right side
    30,544x = 396,633,154.56
  5. Step 5: Solve for x
    x = 396,633,154.56/30,544
  6. Step 6: Final answer
    x = 12,985.63

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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.