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Finding the Fourth Proportional to 13,746.66, 18,978.97 and 9,447.15

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Solution

The fourth proportional to 13,746.66, 18,978.97 and 9,447.15 is: 13,042.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,746.66 : 18,978.97 = 9,447.15 : x
  2. Step 2: Convert to fraction form
    13,746.66/18,978.97 = 9,447.15/x
  3. Step 3: Cross multiply
    13,746.66x = 18,978.97 × 9,447.15
  4. Step 4: Simplify right side
    13,746.66x = 179,297,176.44
  5. Step 5: Solve for x
    x = 179,297,176.44/13,746.66
  6. Step 6: Final answer
    x = 13,042.96

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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.