Home / 2,983.80-4,117.64-1,657.60

Finding the Fourth Proportional to 2,983.80, 4,117.64 and 1,657.60

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Solution

The fourth proportional to 2,983.80, 4,117.64 and 1,657.60 is: 2,287.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.80 : 4,117.64 = 1,657.60 : x
  2. Step 2: Convert to fraction form
    2,983.80/4,117.64 = 1,657.60/x
  3. Step 3: Cross multiply
    2,983.80x = 4,117.64 × 1,657.60
  4. Step 4: Simplify right side
    2,983.80x = 6,825,400.06
  5. Step 5: Solve for x
    x = 6,825,400.06/2,983.80
  6. Step 6: Final answer
    x = 2,287.49

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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.