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Finding the Fourth Proportional to 18,357.66, 27,537.39 and 7,829.07

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Solution

The fourth proportional to 18,357.66, 27,537.39 and 7,829.07 is: 11,743.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,357.66 : 27,537.39 = 7,829.07 : x
  2. Step 2: Convert to fraction form
    18,357.66/27,537.39 = 7,829.07/x
  3. Step 3: Cross multiply
    18,357.66x = 27,537.39 × 7,829.07
  4. Step 4: Simplify right side
    18,357.66x = 215,592,153.93
  5. Step 5: Solve for x
    x = 215,592,153.93/18,357.66
  6. Step 6: Final answer
    x = 11,743.99

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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.