Home / 1,197.11-1,787.00-1,106.90

Finding the Fourth Proportional to 1,197.11, 1,787.00 and 1,106.90

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Solution

The fourth proportional to 1,197.11, 1,787.00 and 1,106.90 is: 1,652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.11 : 1,787.00 = 1,106.90 : x
  2. Step 2: Convert to fraction form
    1,197.11/1,787.00 = 1,106.90/x
  3. Step 3: Cross multiply
    1,197.11x = 1,787.00 × 1,106.90
  4. Step 4: Simplify right side
    1,197.11x = 1,978,022.53
  5. Step 5: Solve for x
    x = 1,978,022.53/1,197.11
  6. Step 6: Final answer
    x = 1,652.33

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Half scale
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Double scale
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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.