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Finding the Fourth Proportional to 39,170, 54,054.60 and 21,506

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Solution

The fourth proportional to 39,170, 54,054.60 and 21,506 is: 29,678.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,170 : 54,054.60 = 21,506 : x
  2. Step 2: Convert to fraction form
    39,170/54,054.60 = 21,506/x
  3. Step 3: Cross multiply
    39,170x = 54,054.60 × 21,506
  4. Step 4: Simplify right side
    39,170x = 1,162,498,227.60
  5. Step 5: Solve for x
    x = 1,162,498,227.60/39,170
  6. Step 6: Final answer
    x = 29,678.28

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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.