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Finding the Fourth Proportional to 34,887.69, 48,144 and 19,781.79

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Solution

The fourth proportional to 34,887.69, 48,144 and 19,781.79 is: 27,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,887.69 : 48,144 = 19,781.79 : x
  2. Step 2: Convert to fraction form
    34,887.69/48,144 = 19,781.79/x
  3. Step 3: Cross multiply
    34,887.69x = 48,144 × 19,781.79
  4. Step 4: Simplify right side
    34,887.69x = 952,374,497.76
  5. Step 5: Solve for x
    x = 952,374,497.76/34,887.69
  6. Step 6: Final answer
    x = 27,298.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.