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Finding the Fourth Proportional to 38,777.84, 53,480.72 and 31,692

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Solution

The fourth proportional to 38,777.84, 53,480.72 and 31,692 is: 43,708.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,777.84 : 53,480.72 = 31,692 : x
  2. Step 2: Convert to fraction form
    38,777.84/53,480.72 = 31,692/x
  3. Step 3: Cross multiply
    38,777.84x = 53,480.72 × 31,692
  4. Step 4: Simplify right side
    38,777.84x = 1,694,910,978.24
  5. Step 5: Solve for x
    x = 1,694,910,978.24/38,777.84
  6. Step 6: Final answer
    x = 43,708.24

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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.