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Finding the Fourth Proportional to 11,800.78, 17,695.41 and 4,199.53

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Solution

The fourth proportional to 11,800.78, 17,695.41 and 4,199.53 is: 6,297.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,800.78 : 17,695.41 = 4,199.53 : x
  2. Step 2: Convert to fraction form
    11,800.78/17,695.41 = 4,199.53/x
  3. Step 3: Cross multiply
    11,800.78x = 17,695.41 × 4,199.53
  4. Step 4: Simplify right side
    11,800.78x = 74,312,401.97
  5. Step 5: Solve for x
    x = 74,312,401.97/11,800.78
  6. Step 6: Final answer
    x = 6,297.24

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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.