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Finding the Fourth Proportional to 12,914.04, 17,817 and 8,201.08

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Solution

The fourth proportional to 12,914.04, 17,817 and 8,201.08 is: 11,314.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,914.04 : 17,817 = 8,201.08 : x
  2. Step 2: Convert to fraction form
    12,914.04/17,817 = 8,201.08/x
  3. Step 3: Cross multiply
    12,914.04x = 17,817 × 8,201.08
  4. Step 4: Simplify right side
    12,914.04x = 146,118,642.36
  5. Step 5: Solve for x
    x = 146,118,642.36/12,914.04
  6. Step 6: Final answer
    x = 11,314.71

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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.