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Finding the Fourth Proportional to 28,231.76, 42,364.04 and 12,649.39

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Solution

The fourth proportional to 28,231.76, 42,364.04 and 12,649.39 is: 18,981.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,231.76 : 42,364.04 = 12,649.39 : x
  2. Step 2: Convert to fraction form
    28,231.76/42,364.04 = 12,649.39/x
  3. Step 3: Cross multiply
    28,231.76x = 42,364.04 × 12,649.39
  4. Step 4: Simplify right side
    28,231.76x = 535,879,263.94
  5. Step 5: Solve for x
    x = 535,879,263.94/28,231.76
  6. Step 6: Final answer
    x = 18,981.43

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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.