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Finding the Fourth Proportional to 2,810.52, 3,879.54 and 2,285.64

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Solution

The fourth proportional to 2,810.52, 3,879.54 and 2,285.64 is: 3,155.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,810.52 : 3,879.54 = 2,285.64 : x
  2. Step 2: Convert to fraction form
    2,810.52/3,879.54 = 2,285.64/x
  3. Step 3: Cross multiply
    2,810.52x = 3,879.54 × 2,285.64
  4. Step 4: Simplify right side
    2,810.52x = 8,867,231.81
  5. Step 5: Solve for x
    x = 8,867,231.81/2,810.52
  6. Step 6: Final answer
    x = 3,155.01

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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.