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Finding the Fourth Proportional to 3,140.79, 4,711.14 and 768.90

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Solution

The fourth proportional to 3,140.79, 4,711.14 and 768.90 is: 1,153.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,140.79 : 4,711.14 = 768.90 : x
  2. Step 2: Convert to fraction form
    3,140.79/4,711.14 = 768.90/x
  3. Step 3: Cross multiply
    3,140.79x = 4,711.14 × 768.90
  4. Step 4: Simplify right side
    3,140.79x = 3,622,395.55
  5. Step 5: Solve for x
    x = 3,622,395.55/3,140.79
  6. Step 6: Final answer
    x = 1,153.34

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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.