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Finding the Fourth Proportional to 13,698.06, 18,914.84 and 8,671.16

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Solution

The fourth proportional to 13,698.06, 18,914.84 and 8,671.16 is: 11,973.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,698.06 : 18,914.84 = 8,671.16 : x
  2. Step 2: Convert to fraction form
    13,698.06/18,914.84 = 8,671.16/x
  3. Step 3: Cross multiply
    13,698.06x = 18,914.84 × 8,671.16
  4. Step 4: Simplify right side
    13,698.06x = 164,013,604.01
  5. Step 5: Solve for x
    x = 164,013,604.01/13,698.06
  6. Step 6: Final answer
    x = 11,973.49

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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.