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Finding the Fourth Proportional to 1,192.92, 1,782.23 and 1,152

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Solution

The fourth proportional to 1,192.92, 1,782.23 and 1,152 is: 1,721.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.92 : 1,782.23 = 1,152 : x
  2. Step 2: Convert to fraction form
    1,192.92/1,782.23 = 1,152/x
  3. Step 3: Cross multiply
    1,192.92x = 1,782.23 × 1,152
  4. Step 4: Simplify right side
    1,192.92x = 2,053,123.20
  5. Step 5: Solve for x
    x = 2,053,123.20/1,192.92
  6. Step 6: Final answer
    x = 1,721.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.