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Finding the Fourth Proportional to 2,159.87, 3,240.41 and 990.63

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Solution

The fourth proportional to 2,159.87, 3,240.41 and 990.63 is: 1,486.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,159.87 : 3,240.41 = 990.63 : x
  2. Step 2: Convert to fraction form
    2,159.87/3,240.41 = 990.63/x
  3. Step 3: Cross multiply
    2,159.87x = 3,240.41 × 990.63
  4. Step 4: Simplify right side
    2,159.87x = 3,210,042.41
  5. Step 5: Solve for x
    x = 3,210,042.41/2,159.87
  6. Step 6: Final answer
    x = 1,486.22

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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.