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Finding the Fourth Proportional to 39,417, 54,396.62 and 21,513.15

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Solution

The fourth proportional to 39,417, 54,396.62 and 21,513.15 is: 29,688.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,417 : 54,396.62 = 21,513.15 : x
  2. Step 2: Convert to fraction form
    39,417/54,396.62 = 21,513.15/x
  3. Step 3: Cross multiply
    39,417x = 54,396.62 × 21,513.15
  4. Step 4: Simplify right side
    39,417x = 1,170,242,537.99
  5. Step 5: Solve for x
    x = 1,170,242,537.99/39,417
  6. Step 6: Final answer
    x = 29,688.78

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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.