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Finding the Fourth Proportional to 15,108.12, 22,659.48 and 5,749.11

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Solution

The fourth proportional to 15,108.12, 22,659.48 and 5,749.11 is: 8,622.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,108.12 : 22,659.48 = 5,749.11 : x
  2. Step 2: Convert to fraction form
    15,108.12/22,659.48 = 5,749.11/x
  3. Step 3: Cross multiply
    15,108.12x = 22,659.48 × 5,749.11
  4. Step 4: Simplify right side
    15,108.12x = 130,271,843.06
  5. Step 5: Solve for x
    x = 130,271,843.06/15,108.12
  6. Step 6: Final answer
    x = 8,622.64

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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.