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Finding the Fourth Proportional to 1,293.36, 1,928.10 and 1,189.68

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Solution

The fourth proportional to 1,293.36, 1,928.10 and 1,189.68 is: 1,773.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.36 : 1,928.10 = 1,189.68 : x
  2. Step 2: Convert to fraction form
    1,293.36/1,928.10 = 1,189.68/x
  3. Step 3: Cross multiply
    1,293.36x = 1,928.10 × 1,189.68
  4. Step 4: Simplify right side
    1,293.36x = 2,293,822.01
  5. Step 5: Solve for x
    x = 2,293,822.01/1,293.36
  6. Step 6: Final answer
    x = 1,773.54

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1.5x scale

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.