Home / 2,984.14-4,117.82-1,657.70

Finding the Fourth Proportional to 2,984.14, 4,117.82 and 1,657.70

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Solution

The fourth proportional to 2,984.14, 4,117.82 and 1,657.70 is: 2,287.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,984.14 : 4,117.82 = 1,657.70 : x
  2. Step 2: Convert to fraction form
    2,984.14/4,117.82 = 1,657.70/x
  3. Step 3: Cross multiply
    2,984.14x = 4,117.82 × 1,657.70
  4. Step 4: Simplify right side
    2,984.14x = 6,826,110.21
  5. Step 5: Solve for x
    x = 6,826,110.21/2,984.14
  6. Step 6: Final answer
    x = 2,287.46

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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.