Home / 2,057.87-2,838.47-1,637.64

Finding the Fourth Proportional to 2,057.87, 2,838.47 and 1,637.64

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Solution

The fourth proportional to 2,057.87, 2,838.47 and 1,637.64 is: 2,258.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,057.87 : 2,838.47 = 1,637.64 : x
  2. Step 2: Convert to fraction form
    2,057.87/2,838.47 = 1,637.64/x
  3. Step 3: Cross multiply
    2,057.87x = 2,838.47 × 1,637.64
  4. Step 4: Simplify right side
    2,057.87x = 4,648,383.82
  5. Step 5: Solve for x
    x = 4,648,383.82/2,057.87
  6. Step 6: Final answer
    x = 2,258.83

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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.