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Finding the Fourth Proportional to 38,320, 57,479.94 and 12,026.76

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Solution

The fourth proportional to 38,320, 57,479.94 and 12,026.76 is: 18,040.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,320 : 57,479.94 = 12,026.76 : x
  2. Step 2: Convert to fraction form
    38,320/57,479.94 = 12,026.76/x
  3. Step 3: Cross multiply
    38,320x = 57,479.94 × 12,026.76
  4. Step 4: Simplify right side
    38,320x = 691,297,443.19
  5. Step 5: Solve for x
    x = 691,297,443.19/38,320
  6. Step 6: Final answer
    x = 18,040.12

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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.