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Finding the Fourth Proportional to 38,720.80, 57,994.80 and 31,808.80

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Solution

The fourth proportional to 38,720.80, 57,994.80 and 31,808.80 is: 47,642.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,720.80 : 57,994.80 = 31,808.80 : x
  2. Step 2: Convert to fraction form
    38,720.80/57,994.80 = 31,808.80/x
  3. Step 3: Cross multiply
    38,720.80x = 57,994.80 × 31,808.80
  4. Step 4: Simplify right side
    38,720.80x = 1,844,744,994.24
  5. Step 5: Solve for x
    x = 1,844,744,994.24/38,720.80
  6. Step 6: Final answer
    x = 47,642.22

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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.