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Finding the Fourth Proportional to 3,939.98, 5,910 and 1,128.82

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Solution

The fourth proportional to 3,939.98, 5,910 and 1,128.82 is: 1,693.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.98 : 5,910 = 1,128.82 : x
  2. Step 2: Convert to fraction form
    3,939.98/5,910 = 1,128.82/x
  3. Step 3: Cross multiply
    3,939.98x = 5,910 × 1,128.82
  4. Step 4: Simplify right side
    3,939.98x = 6,671,326.20
  5. Step 5: Solve for x
    x = 6,671,326.20/3,939.98
  6. Step 6: Final answer
    x = 1,693.24

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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.