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Finding the Fourth Proportional to 4,770.72, 7,147.98 and 2,689.92

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Solution

The fourth proportional to 4,770.72, 7,147.98 and 2,689.92 is: 4,030.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,770.72 : 7,147.98 = 2,689.92 : x
  2. Step 2: Convert to fraction form
    4,770.72/7,147.98 = 2,689.92/x
  3. Step 3: Cross multiply
    4,770.72x = 7,147.98 × 2,689.92
  4. Step 4: Simplify right side
    4,770.72x = 19,227,494.36
  5. Step 5: Solve for x
    x = 19,227,494.36/4,770.72
  6. Step 6: Final answer
    x = 4,030.31

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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.