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Finding the Fourth Proportional to 33,735, 50,602.50 and 9,111

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Solution

The fourth proportional to 33,735, 50,602.50 and 9,111 is: 13,666.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,735 : 50,602.50 = 9,111 : x
  2. Step 2: Convert to fraction form
    33,735/50,602.50 = 9,111/x
  3. Step 3: Cross multiply
    33,735x = 50,602.50 × 9,111
  4. Step 4: Simplify right side
    33,735x = 461,039,377.50
  5. Step 5: Solve for x
    x = 461,039,377.50/33,735
  6. Step 6: Final answer
    x = 13,666.50

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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.