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Finding the Fourth Proportional to 5,781.83, 8,682.53 and 5,485.91

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Solution

The fourth proportional to 5,781.83, 8,682.53 and 5,485.91 is: 8,238.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,781.83 : 8,682.53 = 5,485.91 : x
  2. Step 2: Convert to fraction form
    5,781.83/8,682.53 = 5,485.91/x
  3. Step 3: Cross multiply
    5,781.83x = 8,682.53 × 5,485.91
  4. Step 4: Simplify right side
    5,781.83x = 47,631,507.31
  5. Step 5: Solve for x
    x = 47,631,507.31/5,781.83
  6. Step 6: Final answer
    x = 8,238.14

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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.