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Finding the Fourth Proportional to 13,422.80, 18,523 and 7,454.32

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Solution

The fourth proportional to 13,422.80, 18,523 and 7,454.32 is: 10,286.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,422.80 : 18,523 = 7,454.32 : x
  2. Step 2: Convert to fraction form
    13,422.80/18,523 = 7,454.32/x
  3. Step 3: Cross multiply
    13,422.80x = 18,523 × 7,454.32
  4. Step 4: Simplify right side
    13,422.80x = 138,076,369.36
  5. Step 5: Solve for x
    x = 138,076,369.36/13,422.80
  6. Step 6: Final answer
    x = 10,286.70

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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.