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Finding the Fourth Proportional to 38,407, 57,608.75 and 13,452.64

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Solution

The fourth proportional to 38,407, 57,608.75 and 13,452.64 is: 20,178.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,407 : 57,608.75 = 13,452.64 : x
  2. Step 2: Convert to fraction form
    38,407/57,608.75 = 13,452.64/x
  3. Step 3: Cross multiply
    38,407x = 57,608.75 × 13,452.64
  4. Step 4: Simplify right side
    38,407x = 774,989,774.60
  5. Step 5: Solve for x
    x = 774,989,774.60/38,407
  6. Step 6: Final answer
    x = 20,178.35

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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.