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Finding the Fourth Proportional to 19,858.23, 27,404.01 and 10,905.50

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Solution

The fourth proportional to 19,858.23, 27,404.01 and 10,905.50 is: 15,049.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,858.23 : 27,404.01 = 10,905.50 : x
  2. Step 2: Convert to fraction form
    19,858.23/27,404.01 = 10,905.50/x
  3. Step 3: Cross multiply
    19,858.23x = 27,404.01 × 10,905.50
  4. Step 4: Simplify right side
    19,858.23x = 298,854,431.06
  5. Step 5: Solve for x
    x = 298,854,431.06/19,858.23
  6. Step 6: Final answer
    x = 15,049.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.