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Finding the Fourth Proportional to 40,959.50, 61,449 and 13,257.50

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Solution

The fourth proportional to 40,959.50, 61,449 and 13,257.50 is: 19,889.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,959.50 : 61,449 = 13,257.50 : x
  2. Step 2: Convert to fraction form
    40,959.50/61,449 = 13,257.50/x
  3. Step 3: Cross multiply
    40,959.50x = 61,449 × 13,257.50
  4. Step 4: Simplify right side
    40,959.50x = 814,660,117.50
  5. Step 5: Solve for x
    x = 814,660,117.50/40,959.50
  6. Step 6: Final answer
    x = 19,889.41

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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.