Home / 1,471.20-2,026.92-1,022.64

Finding the Fourth Proportional to 1,471.20, 2,026.92 and 1,022.64

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Solution

The fourth proportional to 1,471.20, 2,026.92 and 1,022.64 is: 1,408.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,471.20 : 2,026.92 = 1,022.64 : x
  2. Step 2: Convert to fraction form
    1,471.20/2,026.92 = 1,022.64/x
  3. Step 3: Cross multiply
    1,471.20x = 2,026.92 × 1,022.64
  4. Step 4: Simplify right side
    1,471.20x = 2,072,809.47
  5. Step 5: Solve for x
    x = 2,072,809.47/1,471.20
  6. Step 6: Final answer
    x = 1,408.92

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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.