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Finding the Fourth Proportional to 38,644.48, 57,941.76 and 12,340.48

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Solution

The fourth proportional to 38,644.48, 57,941.76 and 12,340.48 is: 18,502.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,644.48 : 57,941.76 = 12,340.48 : x
  2. Step 2: Convert to fraction form
    38,644.48/57,941.76 = 12,340.48/x
  3. Step 3: Cross multiply
    38,644.48x = 57,941.76 × 12,340.48
  4. Step 4: Simplify right side
    38,644.48x = 715,029,130.44
  5. Step 5: Solve for x
    x = 715,029,130.44/38,644.48
  6. Step 6: Final answer
    x = 18,502.75

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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.