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Finding the Fourth Proportional to 2,756.80, 3,801.04 and 2,056.96

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Solution

The fourth proportional to 2,756.80, 3,801.04 and 2,056.96 is: 2,836.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,756.80 : 3,801.04 = 2,056.96 : x
  2. Step 2: Convert to fraction form
    2,756.80/3,801.04 = 2,056.96/x
  3. Step 3: Cross multiply
    2,756.80x = 3,801.04 × 2,056.96
  4. Step 4: Simplify right side
    2,756.80x = 7,818,587.24
  5. Step 5: Solve for x
    x = 7,818,587.24/2,756.80
  6. Step 6: Final answer
    x = 2,836.11

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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.