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Finding the Fourth Proportional to 2,585.76, 3,879.12 and 854.16

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Solution

The fourth proportional to 2,585.76, 3,879.12 and 854.16 is: 1,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585.76 : 3,879.12 = 854.16 : x
  2. Step 2: Convert to fraction form
    2,585.76/3,879.12 = 854.16/x
  3. Step 3: Cross multiply
    2,585.76x = 3,879.12 × 854.16
  4. Step 4: Simplify right side
    2,585.76x = 3,313,389.14
  5. Step 5: Solve for x
    x = 3,313,389.14/2,585.76
  6. Step 6: Final answer
    x = 1,281.40

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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.