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Finding the Fourth Proportional to 4,922.99, 7,378.10 and 1,999.70

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Solution

The fourth proportional to 4,922.99, 7,378.10 and 1,999.70 is: 2,996.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,922.99 : 7,378.10 = 1,999.70 : x
  2. Step 2: Convert to fraction form
    4,922.99/7,378.10 = 1,999.70/x
  3. Step 3: Cross multiply
    4,922.99x = 7,378.10 × 1,999.70
  4. Step 4: Simplify right side
    4,922.99x = 14,753,947.18
  5. Step 5: Solve for x
    x = 14,753,947.18/4,922.99
  6. Step 6: Final answer
    x = 2,996.95

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1.5x scale

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.