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Finding the Fourth Proportional to 12,869.44, 19,293.22 and 12,257.08

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Solution

The fourth proportional to 12,869.44, 19,293.22 and 12,257.08 is: 18,375.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,869.44 : 19,293.22 = 12,257.08 : x
  2. Step 2: Convert to fraction form
    12,869.44/19,293.22 = 12,257.08/x
  3. Step 3: Cross multiply
    12,869.44x = 19,293.22 × 12,257.08
  4. Step 4: Simplify right side
    12,869.44x = 236,478,541.00
  5. Step 5: Solve for x
    x = 236,478,541.00/12,869.44
  6. Step 6: Final answer
    x = 18,375.20

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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.