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Finding the Fourth Proportional to 38,649.66, 57,981.77 and 14,641.15

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Solution

The fourth proportional to 38,649.66, 57,981.77 and 14,641.15 is: 21,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,649.66 : 57,981.77 = 14,641.15 : x
  2. Step 2: Convert to fraction form
    38,649.66/57,981.77 = 14,641.15/x
  3. Step 3: Cross multiply
    38,649.66x = 57,981.77 × 14,641.15
  4. Step 4: Simplify right side
    38,649.66x = 848,919,625.69
  5. Step 5: Solve for x
    x = 848,919,625.69/38,649.66
  6. Step 6: Final answer
    x = 21,964.48

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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.