Home / 1,535.57-2,299.26-917.75

Finding the Fourth Proportional to 1,535.57, 2,299.26 and 917.75

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Solution

The fourth proportional to 1,535.57, 2,299.26 and 917.75 is: 1,374.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,535.57 : 2,299.26 = 917.75 : x
  2. Step 2: Convert to fraction form
    1,535.57/2,299.26 = 917.75/x
  3. Step 3: Cross multiply
    1,535.57x = 2,299.26 × 917.75
  4. Step 4: Simplify right side
    1,535.57x = 2,110,134.37
  5. Step 5: Solve for x
    x = 2,110,134.37/1,535.57
  6. Step 6: Final answer
    x = 1,374.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.