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Finding the Fourth Proportional to 2,990.70, 4,486.86 and 910.62

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Solution

The fourth proportional to 2,990.70, 4,486.86 and 910.62 is: 1,366.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,990.70 : 4,486.86 = 910.62 : x
  2. Step 2: Convert to fraction form
    2,990.70/4,486.86 = 910.62/x
  3. Step 3: Cross multiply
    2,990.70x = 4,486.86 × 910.62
  4. Step 4: Simplify right side
    2,990.70x = 4,085,824.45
  5. Step 5: Solve for x
    x = 4,085,824.45/2,990.70
  6. Step 6: Final answer
    x = 1,366.18

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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.