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Finding the Fourth Proportional to 2,813.77, 3,880.54 and 2,254.04

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Solution

The fourth proportional to 2,813.77, 3,880.54 and 2,254.04 is: 3,108.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.77 : 3,880.54 = 2,254.04 : x
  2. Step 2: Convert to fraction form
    2,813.77/3,880.54 = 2,254.04/x
  3. Step 3: Cross multiply
    2,813.77x = 3,880.54 × 2,254.04
  4. Step 4: Simplify right side
    2,813.77x = 8,746,892.38
  5. Step 5: Solve for x
    x = 8,746,892.38/2,813.77
  6. Step 6: Final answer
    x = 3,108.60

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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.