Home / 1,551.30-2,140.78-843.14

Finding the Fourth Proportional to 1,551.30, 2,140.78 and 843.14

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Solution

The fourth proportional to 1,551.30, 2,140.78 and 843.14 is: 1,163.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,551.30 : 2,140.78 = 843.14 : x
  2. Step 2: Convert to fraction form
    1,551.30/2,140.78 = 843.14/x
  3. Step 3: Cross multiply
    1,551.30x = 2,140.78 × 843.14
  4. Step 4: Simplify right side
    1,551.30x = 1,804,977.25
  5. Step 5: Solve for x
    x = 1,804,977.25/1,551.30
  6. Step 6: Final answer
    x = 1,163.53

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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.