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Finding the Fourth Proportional to 5,855.64, 8,784.42 and 3,561.24

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Solution

The fourth proportional to 5,855.64, 8,784.42 and 3,561.24 is: 5,342.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.64 : 8,784.42 = 3,561.24 : x
  2. Step 2: Convert to fraction form
    5,855.64/8,784.42 = 3,561.24/x
  3. Step 3: Cross multiply
    5,855.64x = 8,784.42 × 3,561.24
  4. Step 4: Simplify right side
    5,855.64x = 31,283,427.88
  5. Step 5: Solve for x
    x = 31,283,427.88/5,855.64
  6. Step 6: Final answer
    x = 5,342.44

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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.