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Finding the Fourth Proportional to 3,165.44, 4,747.74 and 974.12

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Solution

The fourth proportional to 3,165.44, 4,747.74 and 974.12 is: 1,461.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,165.44 : 4,747.74 = 974.12 : x
  2. Step 2: Convert to fraction form
    3,165.44/4,747.74 = 974.12/x
  3. Step 3: Cross multiply
    3,165.44x = 4,747.74 × 974.12
  4. Step 4: Simplify right side
    3,165.44x = 4,624,844.75
  5. Step 5: Solve for x
    x = 4,624,844.75/3,165.44
  6. Step 6: Final answer
    x = 1,461.05

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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.