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Finding the Fourth Proportional to 3,142.70, 4,714.01 and 770.81

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Solution

The fourth proportional to 3,142.70, 4,714.01 and 770.81 is: 1,156.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.70 : 4,714.01 = 770.81 : x
  2. Step 2: Convert to fraction form
    3,142.70/4,714.01 = 770.81/x
  3. Step 3: Cross multiply
    3,142.70x = 4,714.01 × 770.81
  4. Step 4: Simplify right side
    3,142.70x = 3,633,606.05
  5. Step 5: Solve for x
    x = 3,633,606.05/3,142.70
  6. Step 6: Final answer
    x = 1,156.21

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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.