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Finding the Fourth Proportional to 1,192.05, 1,788.84 and 1,101.87

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Solution

The fourth proportional to 1,192.05, 1,788.84 and 1,101.87 is: 1,653.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.05 : 1,788.84 = 1,101.87 : x
  2. Step 2: Convert to fraction form
    1,192.05/1,788.84 = 1,101.87/x
  3. Step 3: Cross multiply
    1,192.05x = 1,788.84 × 1,101.87
  4. Step 4: Simplify right side
    1,192.05x = 1,971,069.13
  5. Step 5: Solve for x
    x = 1,971,069.13/1,192.05
  6. Step 6: Final answer
    x = 1,653.51

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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.