Home / 1,656.77-2,287.41-1,027.96

Finding the Fourth Proportional to 1,656.77, 2,287.41 and 1,027.96

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Solution

The fourth proportional to 1,656.77, 2,287.41 and 1,027.96 is: 1,419.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,656.77 : 2,287.41 = 1,027.96 : x
  2. Step 2: Convert to fraction form
    1,656.77/2,287.41 = 1,027.96/x
  3. Step 3: Cross multiply
    1,656.77x = 2,287.41 × 1,027.96
  4. Step 4: Simplify right side
    1,656.77x = 2,351,365.98
  5. Step 5: Solve for x
    x = 2,351,365.98/1,656.77
  6. Step 6: Final answer
    x = 1,419.25

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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.