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Finding the Fourth Proportional to 4,514, 6,771.04 and 1,778

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Solution

The fourth proportional to 4,514, 6,771.04 and 1,778 is: 2,667.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,514 : 6,771.04 = 1,778 : x
  2. Step 2: Convert to fraction form
    4,514/6,771.04 = 1,778/x
  3. Step 3: Cross multiply
    4,514x = 6,771.04 × 1,778
  4. Step 4: Simplify right side
    4,514x = 12,038,909.12
  5. Step 5: Solve for x
    x = 12,038,909.12/4,514
  6. Step 6: Final answer
    x = 2,667.02

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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.