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Finding the Fourth Proportional to 13,420.76, 18,519.78 and 7,452.44

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Solution

The fourth proportional to 13,420.76, 18,519.78 and 7,452.44 is: 10,283.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,420.76 : 18,519.78 = 7,452.44 : x
  2. Step 2: Convert to fraction form
    13,420.76/18,519.78 = 7,452.44/x
  3. Step 3: Cross multiply
    13,420.76x = 18,519.78 × 7,452.44
  4. Step 4: Simplify right side
    13,420.76x = 138,017,549.26
  5. Step 5: Solve for x
    x = 138,017,549.26/13,420.76
  6. Step 6: Final answer
    x = 10,283.88

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Double scale
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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.