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Finding the Fourth Proportional to 2,983.59, 4,117.39 and 1,657.42

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Solution

The fourth proportional to 2,983.59, 4,117.39 and 1,657.42 is: 2,287.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,983.59 : 4,117.39 = 1,657.42 : x
  2. Step 2: Convert to fraction form
    2,983.59/4,117.39 = 1,657.42/x
  3. Step 3: Cross multiply
    2,983.59x = 4,117.39 × 1,657.42
  4. Step 4: Simplify right side
    2,983.59x = 6,824,215.66
  5. Step 5: Solve for x
    x = 6,824,215.66/2,983.59
  6. Step 6: Final answer
    x = 2,287.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.