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Finding the Fourth Proportional to 3,807.84, 5,712.84 and 2,768.88

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Solution

The fourth proportional to 3,807.84, 5,712.84 and 2,768.88 is: 4,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,807.84 : 5,712.84 = 2,768.88 : x
  2. Step 2: Convert to fraction form
    3,807.84/5,712.84 = 2,768.88/x
  3. Step 3: Cross multiply
    3,807.84x = 5,712.84 × 2,768.88
  4. Step 4: Simplify right side
    3,807.84x = 15,818,168.42
  5. Step 5: Solve for x
    x = 15,818,168.42/3,807.84
  6. Step 6: Final answer
    x = 4,154.11

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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.