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Finding the Fourth Proportional to 3,168.67, 4,753.71 and 977.59

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Solution

The fourth proportional to 3,168.67, 4,753.71 and 977.59 is: 1,466.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,168.67 : 4,753.71 = 977.59 : x
  2. Step 2: Convert to fraction form
    3,168.67/4,753.71 = 977.59/x
  3. Step 3: Cross multiply
    3,168.67x = 4,753.71 × 977.59
  4. Step 4: Simplify right side
    3,168.67x = 4,647,179.36
  5. Step 5: Solve for x
    x = 4,647,179.36/3,168.67
  6. Step 6: Final answer
    x = 1,466.60

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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.