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Finding the Fourth Proportional to 6,485.90, 9,723.24 and 2,587.77

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Solution

The fourth proportional to 6,485.90, 9,723.24 and 2,587.77 is: 3,879.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.90 : 9,723.24 = 2,587.77 : x
  2. Step 2: Convert to fraction form
    6,485.90/9,723.24 = 2,587.77/x
  3. Step 3: Cross multiply
    6,485.90x = 9,723.24 × 2,587.77
  4. Step 4: Simplify right side
    6,485.90x = 25,161,508.77
  5. Step 5: Solve for x
    x = 25,161,508.77/6,485.90
  6. Step 6: Final answer
    x = 3,879.42

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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.