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Finding the Fourth Proportional to 4,769.91, 7,156.11 and 1,808.42

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Solution

The fourth proportional to 4,769.91, 7,156.11 and 1,808.42 is: 2,713.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,769.91 : 7,156.11 = 1,808.42 : x
  2. Step 2: Convert to fraction form
    4,769.91/7,156.11 = 1,808.42/x
  3. Step 3: Cross multiply
    4,769.91x = 7,156.11 × 1,808.42
  4. Step 4: Simplify right side
    4,769.91x = 12,941,216.67
  5. Step 5: Solve for x
    x = 12,941,216.67/4,769.91
  6. Step 6: Final answer
    x = 2,713.09

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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.