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Finding the Fourth Proportional to 1,192.13, 1,645.91 and 971.61

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Solution

The fourth proportional to 1,192.13, 1,645.91 and 971.61 is: 1,341.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.13 : 1,645.91 = 971.61 : x
  2. Step 2: Convert to fraction form
    1,192.13/1,645.91 = 971.61/x
  3. Step 3: Cross multiply
    1,192.13x = 1,645.91 × 971.61
  4. Step 4: Simplify right side
    1,192.13x = 1,599,171.58
  5. Step 5: Solve for x
    x = 1,599,171.58/1,192.13
  6. Step 6: Final answer
    x = 1,341.44

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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.