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Finding the Fourth Proportional to 40,873, 61,309.50 and 11,689

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Solution

The fourth proportional to 40,873, 61,309.50 and 11,689 is: 17,533.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,873 : 61,309.50 = 11,689 : x
  2. Step 2: Convert to fraction form
    40,873/61,309.50 = 11,689/x
  3. Step 3: Cross multiply
    40,873x = 61,309.50 × 11,689
  4. Step 4: Simplify right side
    40,873x = 716,646,745.50
  5. Step 5: Solve for x
    x = 716,646,745.50/40,873
  6. Step 6: Final answer
    x = 17,533.50

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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.