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Finding the Fourth Proportional to 2,827.92, 4,242.16 and 880.26

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Solution

The fourth proportional to 2,827.92, 4,242.16 and 880.26 is: 1,320.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,827.92 : 4,242.16 = 880.26 : x
  2. Step 2: Convert to fraction form
    2,827.92/4,242.16 = 880.26/x
  3. Step 3: Cross multiply
    2,827.92x = 4,242.16 × 880.26
  4. Step 4: Simplify right side
    2,827.92x = 3,734,203.76
  5. Step 5: Solve for x
    x = 3,734,203.76/2,827.92
  6. Step 6: Final answer
    x = 1,320.48

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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.