Home / 1,383.16-1,909.26-917.56

Finding the Fourth Proportional to 1,383.16, 1,909.26 and 917.56

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Solution

The fourth proportional to 1,383.16, 1,909.26 and 917.56 is: 1,266.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.16 : 1,909.26 = 917.56 : x
  2. Step 2: Convert to fraction form
    1,383.16/1,909.26 = 917.56/x
  3. Step 3: Cross multiply
    1,383.16x = 1,909.26 × 917.56
  4. Step 4: Simplify right side
    1,383.16x = 1,751,860.61
  5. Step 5: Solve for x
    x = 1,751,860.61/1,383.16
  6. Step 6: Final answer
    x = 1,266.56

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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.