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Finding the Fourth Proportional to 5,805.87, 8,014.55 and 3,920.00

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Solution

The fourth proportional to 5,805.87, 8,014.55 and 3,920.00 is: 5,411.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,805.87 : 8,014.55 = 3,920.00 : x
  2. Step 2: Convert to fraction form
    5,805.87/8,014.55 = 3,920.00/x
  3. Step 3: Cross multiply
    5,805.87x = 8,014.55 × 3,920.00
  4. Step 4: Simplify right side
    5,805.87x = 31,417,046.24
  5. Step 5: Solve for x
    x = 31,417,046.24/5,805.87
  6. Step 6: Final answer
    x = 5,411.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.