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Finding the Fourth Proportional to 2,563.84, 3,844.95 and 808.77

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Solution

The fourth proportional to 2,563.84, 3,844.95 and 808.77 is: 1,212.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563.84 : 3,844.95 = 808.77 : x
  2. Step 2: Convert to fraction form
    2,563.84/3,844.95 = 808.77/x
  3. Step 3: Cross multiply
    2,563.84x = 3,844.95 × 808.77
  4. Step 4: Simplify right side
    2,563.84x = 3,109,680.21
  5. Step 5: Solve for x
    x = 3,109,680.21/2,563.84
  6. Step 6: Final answer
    x = 1,212.90

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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.