Home / 1,218.14-1,826.84-1,023.20

Finding the Fourth Proportional to 1,218.14, 1,826.84 and 1,023.20

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Solution

The fourth proportional to 1,218.14, 1,826.84 and 1,023.20 is: 1,534.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.14 : 1,826.84 = 1,023.20 : x
  2. Step 2: Convert to fraction form
    1,218.14/1,826.84 = 1,023.20/x
  3. Step 3: Cross multiply
    1,218.14x = 1,826.84 × 1,023.20
  4. Step 4: Simplify right side
    1,218.14x = 1,869,222.69
  5. Step 5: Solve for x
    x = 1,869,222.69/1,218.14
  6. Step 6: Final answer
    x = 1,534.49

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1.5x scale

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.