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Finding the Fourth Proportional to 4,990.28, 6,891.54 and 4,109

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Solution

The fourth proportional to 4,990.28, 6,891.54 and 4,109 is: 5,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,990.28 : 6,891.54 = 4,109 : x
  2. Step 2: Convert to fraction form
    4,990.28/6,891.54 = 4,109/x
  3. Step 3: Cross multiply
    4,990.28x = 6,891.54 × 4,109
  4. Step 4: Simplify right side
    4,990.28x = 28,317,337.86
  5. Step 5: Solve for x
    x = 28,317,337.86/4,990.28
  6. Step 6: Final answer
    x = 5,674.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.