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Finding the Fourth Proportional to 19,758, 29,637.12 and 5,166

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Solution

The fourth proportional to 19,758, 29,637.12 and 5,166 is: 7,749.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,758 : 29,637.12 = 5,166 : x
  2. Step 2: Convert to fraction form
    19,758/29,637.12 = 5,166/x
  3. Step 3: Cross multiply
    19,758x = 29,637.12 × 5,166
  4. Step 4: Simplify right side
    19,758x = 153,105,361.92
  5. Step 5: Solve for x
    x = 153,105,361.92/19,758
  6. Step 6: Final answer
    x = 7,749.03

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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.