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Finding the Fourth Proportional to 38,507.84, 57,744.48 and 17,720

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Solution

The fourth proportional to 38,507.84, 57,744.48 and 17,720 is: 26,572.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,507.84 : 57,744.48 = 17,720 : x
  2. Step 2: Convert to fraction form
    38,507.84/57,744.48 = 17,720/x
  3. Step 3: Cross multiply
    38,507.84x = 57,744.48 × 17,720
  4. Step 4: Simplify right side
    38,507.84x = 1,023,232,185.60
  5. Step 5: Solve for x
    x = 1,023,232,185.60/38,507.84
  6. Step 6: Final answer
    x = 26,572.05

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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.