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Finding the Fourth Proportional to 13,419.98, 18,520.74 and 7,452.80

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Solution

The fourth proportional to 13,419.98, 18,520.74 and 7,452.80 is: 10,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.98 : 18,520.74 = 7,452.80 : x
  2. Step 2: Convert to fraction form
    13,419.98/18,520.74 = 7,452.80/x
  3. Step 3: Cross multiply
    13,419.98x = 18,520.74 × 7,452.80
  4. Step 4: Simplify right side
    13,419.98x = 138,031,371.07
  5. Step 5: Solve for x
    x = 138,031,371.07/13,419.98
  6. Step 6: Final answer
    x = 10,285.51

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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.