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Finding the Fourth Proportional to 40,833, 61,249.50 and 13,131

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Solution

The fourth proportional to 40,833, 61,249.50 and 13,131 is: 19,696.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,833 : 61,249.50 = 13,131 : x
  2. Step 2: Convert to fraction form
    40,833/61,249.50 = 13,131/x
  3. Step 3: Cross multiply
    40,833x = 61,249.50 × 13,131
  4. Step 4: Simplify right side
    40,833x = 804,267,184.50
  5. Step 5: Solve for x
    x = 804,267,184.50/40,833
  6. Step 6: Final answer
    x = 19,696.50

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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.