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Finding the Fourth Proportional to 2,123.70, 2,930.70 and 1,192.20

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Solution

The fourth proportional to 2,123.70, 2,930.70 and 1,192.20 is: 1,645.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.70 : 2,930.70 = 1,192.20 : x
  2. Step 2: Convert to fraction form
    2,123.70/2,930.70 = 1,192.20/x
  3. Step 3: Cross multiply
    2,123.70x = 2,930.70 × 1,192.20
  4. Step 4: Simplify right side
    2,123.70x = 3,493,980.54
  5. Step 5: Solve for x
    x = 3,493,980.54/2,123.70
  6. Step 6: Final answer
    x = 1,645.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.