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Finding the Fourth Proportional to 13,225.25, 18,250.21 and 7,256.78

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Solution

The fourth proportional to 13,225.25, 18,250.21 and 7,256.78 is: 10,014.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,225.25 : 18,250.21 = 7,256.78 : x
  2. Step 2: Convert to fraction form
    13,225.25/18,250.21 = 7,256.78/x
  3. Step 3: Cross multiply
    13,225.25x = 18,250.21 × 7,256.78
  4. Step 4: Simplify right side
    13,225.25x = 132,437,813.62
  5. Step 5: Solve for x
    x = 132,437,813.62/13,225.25
  6. Step 6: Final answer
    x = 10,014.02

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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.