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Finding the Fourth Proportional to 33,129.84, 49,689.18 and 9,435.72

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Solution

The fourth proportional to 33,129.84, 49,689.18 and 9,435.72 is: 14,151.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,129.84 : 49,689.18 = 9,435.72 : x
  2. Step 2: Convert to fraction form
    33,129.84/49,689.18 = 9,435.72/x
  3. Step 3: Cross multiply
    33,129.84x = 49,689.18 × 9,435.72
  4. Step 4: Simplify right side
    33,129.84x = 468,853,189.51
  5. Step 5: Solve for x
    x = 468,853,189.51/33,129.84
  6. Step 6: Final answer
    x = 14,151.99

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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.