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Finding the Fourth Proportional to 11,820.76, 17,731.16 and 11,099.05

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Solution

The fourth proportional to 11,820.76, 17,731.16 and 11,099.05 is: 16,648.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,820.76 : 17,731.16 = 11,099.05 : x
  2. Step 2: Convert to fraction form
    11,820.76/17,731.16 = 11,099.05/x
  3. Step 3: Cross multiply
    11,820.76x = 17,731.16 × 11,099.05
  4. Step 4: Simplify right side
    11,820.76x = 196,799,031.40
  5. Step 5: Solve for x
    x = 196,799,031.40/11,820.76
  6. Step 6: Final answer
    x = 16,648.59

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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.