Home / 1,546.75-2,134.64-917.41

Finding the Fourth Proportional to 1,546.75, 2,134.64 and 917.41

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Solution

The fourth proportional to 1,546.75, 2,134.64 and 917.41 is: 1,266.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.75 : 2,134.64 = 917.41 : x
  2. Step 2: Convert to fraction form
    1,546.75/2,134.64 = 917.41/x
  3. Step 3: Cross multiply
    1,546.75x = 2,134.64 × 917.41
  4. Step 4: Simplify right side
    1,546.75x = 1,958,340.08
  5. Step 5: Solve for x
    x = 1,958,340.08/1,546.75
  6. Step 6: Final answer
    x = 1,266.10

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1.5x scale

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.