Home / 2,585.27-3,878.45-830.40

Finding the Fourth Proportional to 2,585.27, 3,878.45 and 830.40

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Solution

The fourth proportional to 2,585.27, 3,878.45 and 830.40 is: 1,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.27 : 3,878.45 = 830.40 : x
  2. Step 2: Convert to fraction form
    2,585.27/3,878.45 = 830.40/x
  3. Step 3: Cross multiply
    2,585.27x = 3,878.45 × 830.40
  4. Step 4: Simplify right side
    2,585.27x = 3,220,664.88
  5. Step 5: Solve for x
    x = 3,220,664.88/2,585.27
  6. Step 6: Final answer
    x = 1,245.78

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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.