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Finding the Fourth Proportional to 33,156, 49,734 and 9,782.10

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Solution

The fourth proportional to 33,156, 49,734 and 9,782.10 is: 14,673.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156 : 49,734 = 9,782.10 : x
  2. Step 2: Convert to fraction form
    33,156/49,734 = 9,782.10/x
  3. Step 3: Cross multiply
    33,156x = 49,734 × 9,782.10
  4. Step 4: Simplify right side
    33,156x = 486,502,961.40
  5. Step 5: Solve for x
    x = 486,502,961.40/33,156
  6. Step 6: Final answer
    x = 14,673.15

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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.