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Finding the Fourth Proportional to 38,377, 57,561.18 and 12,076.84

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Solution

The fourth proportional to 38,377, 57,561.18 and 12,076.84 is: 18,113.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,377 : 57,561.18 = 12,076.84 : x
  2. Step 2: Convert to fraction form
    38,377/57,561.18 = 12,076.84/x
  3. Step 3: Cross multiply
    38,377x = 57,561.18 × 12,076.84
  4. Step 4: Simplify right side
    38,377x = 695,157,161.07
  5. Step 5: Solve for x
    x = 695,157,161.07/38,377
  6. Step 6: Final answer
    x = 18,113.90

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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.