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Finding the Fourth Proportional to 40,959, 61,448.25 and 13,257

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Solution

The fourth proportional to 40,959, 61,448.25 and 13,257 is: 19,888.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,959 : 61,448.25 = 13,257 : x
  2. Step 2: Convert to fraction form
    40,959/61,448.25 = 13,257/x
  3. Step 3: Cross multiply
    40,959x = 61,448.25 × 13,257
  4. Step 4: Simplify right side
    40,959x = 814,619,450.25
  5. Step 5: Solve for x
    x = 814,619,450.25/40,959
  6. Step 6: Final answer
    x = 19,888.66

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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.