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Finding the Fourth Proportional to 2,187.78, 3,019.04 and 1,193.04

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Solution

The fourth proportional to 2,187.78, 3,019.04 and 1,193.04 is: 1,646.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,187.78 : 3,019.04 = 1,193.04 : x
  2. Step 2: Convert to fraction form
    2,187.78/3,019.04 = 1,193.04/x
  3. Step 3: Cross multiply
    2,187.78x = 3,019.04 × 1,193.04
  4. Step 4: Simplify right side
    2,187.78x = 3,601,835.48
  5. Step 5: Solve for x
    x = 3,601,835.48/2,187.78
  6. Step 6: Final answer
    x = 1,646.34

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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.