Home / 2,984.31-4,118.31-1,657.96

Finding the Fourth Proportional to 2,984.31, 4,118.31 and 1,657.96

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Solution

The fourth proportional to 2,984.31, 4,118.31 and 1,657.96 is: 2,287.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.31 : 4,118.31 = 1,657.96 : x
  2. Step 2: Convert to fraction form
    2,984.31/4,118.31 = 1,657.96/x
  3. Step 3: Cross multiply
    2,984.31x = 4,118.31 × 1,657.96
  4. Step 4: Simplify right side
    2,984.31x = 6,827,982.95
  5. Step 5: Solve for x
    x = 6,827,982.95/2,984.31
  6. Step 6: Final answer
    x = 2,287.96

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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.