Home / 2,983.50-4,117.23-1,657.43

Finding the Fourth Proportional to 2,983.50, 4,117.23 and 1,657.43

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Solution

The fourth proportional to 2,983.50, 4,117.23 and 1,657.43 is: 2,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.50 : 4,117.23 = 1,657.43 : x
  2. Step 2: Convert to fraction form
    2,983.50/4,117.23 = 1,657.43/x
  3. Step 3: Cross multiply
    2,983.50x = 4,117.23 × 1,657.43
  4. Step 4: Simplify right side
    2,983.50x = 6,823,999.93
  5. Step 5: Solve for x
    x = 6,823,999.93/2,983.50
  6. Step 6: Final answer
    x = 2,287.25

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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.