Home / 1,416.20-1,954.50-826.70

Finding the Fourth Proportional to 1,416.20, 1,954.50 and 826.70

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Solution

The fourth proportional to 1,416.20, 1,954.50 and 826.70 is: 1,140.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.20 : 1,954.50 = 826.70 : x
  2. Step 2: Convert to fraction form
    1,416.20/1,954.50 = 826.70/x
  3. Step 3: Cross multiply
    1,416.20x = 1,954.50 × 826.70
  4. Step 4: Simplify right side
    1,416.20x = 1,615,785.15
  5. Step 5: Solve for x
    x = 1,615,785.15/1,416.20
  6. Step 6: Final answer
    x = 1,140.93

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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.