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Finding the Fourth Proportional to 1,817.36, 2,724.60 and 792.08

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Solution

The fourth proportional to 1,817.36, 2,724.60 and 792.08 is: 1,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,817.36 : 2,724.60 = 792.08 : x
  2. Step 2: Convert to fraction form
    1,817.36/2,724.60 = 792.08/x
  3. Step 3: Cross multiply
    1,817.36x = 2,724.60 × 792.08
  4. Step 4: Simplify right side
    1,817.36x = 2,158,101.17
  5. Step 5: Solve for x
    x = 2,158,101.17/1,817.36
  6. Step 6: Final answer
    x = 1,187.49

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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.