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Finding the Fourth Proportional to 3,174, 4,757.28 and 1,788

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Solution

The fourth proportional to 3,174, 4,757.28 and 1,788 is: 2,679.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,174 : 4,757.28 = 1,788 : x
  2. Step 2: Convert to fraction form
    3,174/4,757.28 = 1,788/x
  3. Step 3: Cross multiply
    3,174x = 4,757.28 × 1,788
  4. Step 4: Simplify right side
    3,174x = 8,506,016.64
  5. Step 5: Solve for x
    x = 8,506,016.64/3,174
  6. Step 6: Final answer
    x = 2,679.90

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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.