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Finding the Fourth Proportional to 33,111, 49,671.96 and 10,925.64

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Solution

The fourth proportional to 33,111, 49,671.96 and 10,925.64 is: 16,390.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,111 : 49,671.96 = 10,925.64 : x
  2. Step 2: Convert to fraction form
    33,111/49,671.96 = 10,925.64/x
  3. Step 3: Cross multiply
    33,111x = 49,671.96 × 10,925.64
  4. Step 4: Simplify right side
    33,111x = 542,697,953.05
  5. Step 5: Solve for x
    x = 542,697,953.05/33,111
  6. Step 6: Final answer
    x = 16,390.26

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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.