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Finding the Fourth Proportional to 2,123.63, 2,930.63 and 1,192.13

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Solution

The fourth proportional to 2,123.63, 2,930.63 and 1,192.13 is: 1,645.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,123.63 : 2,930.63 = 1,192.13 : x
  2. Step 2: Convert to fraction form
    2,123.63/2,930.63 = 1,192.13/x
  3. Step 3: Cross multiply
    2,123.63x = 2,930.63 × 1,192.13
  4. Step 4: Simplify right side
    2,123.63x = 3,493,691.94
  5. Step 5: Solve for x
    x = 3,493,691.94/2,123.63
  6. Step 6: Final answer
    x = 1,645.15

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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.