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Finding the Fourth Proportional to 2,887.92, 3,976.94 and 2,509.64

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Solution

The fourth proportional to 2,887.92, 3,976.94 and 2,509.64 is: 3,456.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,887.92 : 3,976.94 = 2,509.64 : x
  2. Step 2: Convert to fraction form
    2,887.92/3,976.94 = 2,509.64/x
  3. Step 3: Cross multiply
    2,887.92x = 3,976.94 × 2,509.64
  4. Step 4: Simplify right side
    2,887.92x = 9,980,655.27
  5. Step 5: Solve for x
    x = 9,980,655.27/2,887.92
  6. Step 6: Final answer
    x = 3,456.00

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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.