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Finding the Fourth Proportional to 38,505.72, 57,764.06 and 11,853.93

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Solution

The fourth proportional to 38,505.72, 57,764.06 and 11,853.93 is: 17,782.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,505.72 : 57,764.06 = 11,853.93 : x
  2. Step 2: Convert to fraction form
    38,505.72/57,764.06 = 11,853.93/x
  3. Step 3: Cross multiply
    38,505.72x = 57,764.06 × 11,853.93
  4. Step 4: Simplify right side
    38,505.72x = 684,730,847.87
  5. Step 5: Solve for x
    x = 684,730,847.87/38,505.72
  6. Step 6: Final answer
    x = 17,782.57

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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.