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Finding the Fourth Proportional to 2,794.70, 4,192.20 and 947.03

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Solution

The fourth proportional to 2,794.70, 4,192.20 and 947.03 is: 1,420.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.70 : 4,192.20 = 947.03 : x
  2. Step 2: Convert to fraction form
    2,794.70/4,192.20 = 947.03/x
  3. Step 3: Cross multiply
    2,794.70x = 4,192.20 × 947.03
  4. Step 4: Simplify right side
    2,794.70x = 3,970,118.21
  5. Step 5: Solve for x
    x = 3,970,118.21/2,794.70
  6. Step 6: Final answer
    x = 1,420.59

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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.