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Finding the Fourth Proportional to 15,749.40, 23,634.90 and 8,729.40

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Solution

The fourth proportional to 15,749.40, 23,634.90 and 8,729.40 is: 13,100.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,749.40 : 23,634.90 = 8,729.40 : x
  2. Step 2: Convert to fraction form
    15,749.40/23,634.90 = 8,729.40/x
  3. Step 3: Cross multiply
    15,749.40x = 23,634.90 × 8,729.40
  4. Step 4: Simplify right side
    15,749.40x = 206,318,496.06
  5. Step 5: Solve for x
    x = 206,318,496.06/15,749.40
  6. Step 6: Final answer
    x = 13,100.09

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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.