Home / 1,416.12-1,954.24-826.44

Finding the Fourth Proportional to 1,416.12, 1,954.24 and 826.44

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Solution

The fourth proportional to 1,416.12, 1,954.24 and 826.44 is: 1,140.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.12 : 1,954.24 = 826.44 : x
  2. Step 2: Convert to fraction form
    1,416.12/1,954.24 = 826.44/x
  3. Step 3: Cross multiply
    1,416.12x = 1,954.24 × 826.44
  4. Step 4: Simplify right side
    1,416.12x = 1,615,062.11
  5. Step 5: Solve for x
    x = 1,615,062.11/1,416.12
  6. Step 6: Final answer
    x = 1,140.48

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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.