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Finding the Fourth Proportional to 4,977.90, 7,471.98 and 2,901.78

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Solution

The fourth proportional to 4,977.90, 7,471.98 and 2,901.78 is: 4,355.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,977.90 : 7,471.98 = 2,901.78 : x
  2. Step 2: Convert to fraction form
    4,977.90/7,471.98 = 2,901.78/x
  3. Step 3: Cross multiply
    4,977.90x = 7,471.98 × 2,901.78
  4. Step 4: Simplify right side
    4,977.90x = 21,682,042.12
  5. Step 5: Solve for x
    x = 21,682,042.12/4,977.90
  6. Step 6: Final answer
    x = 4,355.66

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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.