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Finding the Fourth Proportional to 2,902.56, 4,353.78 and 711.28

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Solution

The fourth proportional to 2,902.56, 4,353.78 and 711.28 is: 1,066.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,902.56 : 4,353.78 = 711.28 : x
  2. Step 2: Convert to fraction form
    2,902.56/4,353.78 = 711.28/x
  3. Step 3: Cross multiply
    2,902.56x = 4,353.78 × 711.28
  4. Step 4: Simplify right side
    2,902.56x = 3,096,756.64
  5. Step 5: Solve for x
    x = 3,096,756.64/2,902.56
  6. Step 6: Final answer
    x = 1,066.91

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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.