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Finding the Fourth Proportional to 18,327.78, 27,495.72 and 7,797.24

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Solution

The fourth proportional to 18,327.78, 27,495.72 and 7,797.24 is: 11,697.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,327.78 : 27,495.72 = 7,797.24 : x
  2. Step 2: Convert to fraction form
    18,327.78/27,495.72 = 7,797.24/x
  3. Step 3: Cross multiply
    18,327.78x = 27,495.72 × 7,797.24
  4. Step 4: Simplify right side
    18,327.78x = 214,390,727.81
  5. Step 5: Solve for x
    x = 214,390,727.81/18,327.78
  6. Step 6: Final answer
    x = 11,697.58

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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.