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Finding the Fourth Proportional to 4,771.52, 7,157.68 and 1,849.60

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Solution

The fourth proportional to 4,771.52, 7,157.68 and 1,849.60 is: 2,774.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,771.52 : 7,157.68 = 1,849.60 : x
  2. Step 2: Convert to fraction form
    4,771.52/7,157.68 = 1,849.60/x
  3. Step 3: Cross multiply
    4,771.52x = 7,157.68 × 1,849.60
  4. Step 4: Simplify right side
    4,771.52x = 13,238,844.93
  5. Step 5: Solve for x
    x = 13,238,844.93/4,771.52
  6. Step 6: Final answer
    x = 2,774.56

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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.