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Finding the Fourth Proportional to 2,141.28, 3,210.76 and 986

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Solution

The fourth proportional to 2,141.28, 3,210.76 and 986 is: 1,478.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,141.28 : 3,210.76 = 986 : x
  2. Step 2: Convert to fraction form
    2,141.28/3,210.76 = 986/x
  3. Step 3: Cross multiply
    2,141.28x = 3,210.76 × 986
  4. Step 4: Simplify right side
    2,141.28x = 3,165,809.36
  5. Step 5: Solve for x
    x = 3,165,809.36/2,141.28
  6. Step 6: Final answer
    x = 1,478.47

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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.