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Finding the Fourth Proportional to 5,451, 8,177.78 and 1,803

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Solution

The fourth proportional to 5,451, 8,177.78 and 1,803 is: 2,704.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,451 : 8,177.78 = 1,803 : x
  2. Step 2: Convert to fraction form
    5,451/8,177.78 = 1,803/x
  3. Step 3: Cross multiply
    5,451x = 8,177.78 × 1,803
  4. Step 4: Simplify right side
    5,451x = 14,744,537.34
  5. Step 5: Solve for x
    x = 14,744,537.34/5,451
  6. Step 6: Final answer
    x = 2,704.92

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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.