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Finding the Fourth Proportional to 7,855.42, 11,784.44 and 3,642.89

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Solution

The fourth proportional to 7,855.42, 11,784.44 and 3,642.89 is: 5,464.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.42 : 11,784.44 = 3,642.89 : x
  2. Step 2: Convert to fraction form
    7,855.42/11,784.44 = 3,642.89/x
  3. Step 3: Cross multiply
    7,855.42x = 11,784.44 × 3,642.89
  4. Step 4: Simplify right side
    7,855.42x = 42,929,418.63
  5. Step 5: Solve for x
    x = 42,929,418.63/7,855.42
  6. Step 6: Final answer
    x = 5,464.94

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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.