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Finding the Fourth Proportional to 39,150, 54,027 and 22,386.24

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Solution

The fourth proportional to 39,150, 54,027 and 22,386.24 is: 30,893.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,150 : 54,027 = 22,386.24 : x
  2. Step 2: Convert to fraction form
    39,150/54,027 = 22,386.24/x
  3. Step 3: Cross multiply
    39,150x = 54,027 × 22,386.24
  4. Step 4: Simplify right side
    39,150x = 1,209,461,388.48
  5. Step 5: Solve for x
    x = 1,209,461,388.48/39,150
  6. Step 6: Final answer
    x = 30,893.01

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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.