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Finding the Fourth Proportional to 3,920.95, 5,881.45 and 999.25

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Solution

The fourth proportional to 3,920.95, 5,881.45 and 999.25 is: 1,498.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,920.95 : 5,881.45 = 999.25 : x
  2. Step 2: Convert to fraction form
    3,920.95/5,881.45 = 999.25/x
  3. Step 3: Cross multiply
    3,920.95x = 5,881.45 × 999.25
  4. Step 4: Simplify right side
    3,920.95x = 5,877,038.91
  5. Step 5: Solve for x
    x = 5,877,038.91/3,920.95
  6. Step 6: Final answer
    x = 1,498.88

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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.