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Finding the Fourth Proportional to 42,212.76, 63,322.78 and 11,048

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Solution

The fourth proportional to 42,212.76, 63,322.78 and 11,048 is: 16,572.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,212.76 : 63,322.78 = 11,048 : x
  2. Step 2: Convert to fraction form
    42,212.76/63,322.78 = 11,048/x
  3. Step 3: Cross multiply
    42,212.76x = 63,322.78 × 11,048
  4. Step 4: Simplify right side
    42,212.76x = 699,590,073.44
  5. Step 5: Solve for x
    x = 699,590,073.44/42,212.76
  6. Step 6: Final answer
    x = 16,572.95

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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.