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Finding the Fourth Proportional to 38,292, 57,434.68 and 13,325.60

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Solution

The fourth proportional to 38,292, 57,434.68 and 13,325.60 is: 19,987.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,292 : 57,434.68 = 13,325.60 : x
  2. Step 2: Convert to fraction form
    38,292/57,434.68 = 13,325.60/x
  3. Step 3: Cross multiply
    38,292x = 57,434.68 × 13,325.60
  4. Step 4: Simplify right side
    38,292x = 765,351,571.81
  5. Step 5: Solve for x
    x = 765,351,571.81/38,292
  6. Step 6: Final answer
    x = 19,987.24

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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.