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Finding the Fourth Proportional to 13,642.97, 18,828.05 and 8,336.25

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Solution

The fourth proportional to 13,642.97, 18,828.05 and 8,336.25 is: 11,504.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,642.97 : 18,828.05 = 8,336.25 : x
  2. Step 2: Convert to fraction form
    13,642.97/18,828.05 = 8,336.25/x
  3. Step 3: Cross multiply
    13,642.97x = 18,828.05 × 8,336.25
  4. Step 4: Simplify right side
    13,642.97x = 156,955,290.13
  5. Step 5: Solve for x
    x = 156,955,290.13/13,642.97
  6. Step 6: Final answer
    x = 11,504.49

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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.