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Finding the Fourth Proportional to 3,920.90, 5,881.36 and 999.20

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Solution

The fourth proportional to 3,920.90, 5,881.36 and 999.20 is: 1,498.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.90 : 5,881.36 = 999.20 : x
  2. Step 2: Convert to fraction form
    3,920.90/5,881.36 = 999.20/x
  3. Step 3: Cross multiply
    3,920.90x = 5,881.36 × 999.20
  4. Step 4: Simplify right side
    3,920.90x = 5,876,654.91
  5. Step 5: Solve for x
    x = 5,876,654.91/3,920.90
  6. Step 6: Final answer
    x = 1,498.80

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1.5x scale

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.