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Finding the Fourth Proportional to 29,809, 41,145.06 and 19,873

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Solution

The fourth proportional to 29,809, 41,145.06 and 19,873 is: 27,430.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,809 : 41,145.06 = 19,873 : x
  2. Step 2: Convert to fraction form
    29,809/41,145.06 = 19,873/x
  3. Step 3: Cross multiply
    29,809x = 41,145.06 × 19,873
  4. Step 4: Simplify right side
    29,809x = 817,675,777.38
  5. Step 5: Solve for x
    x = 817,675,777.38/29,809
  6. Step 6: Final answer
    x = 27,430.50

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1.5x scale

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.