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Finding the Fourth Proportional to 13,375.44, 18,457.49 and 7,406.64

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Solution

The fourth proportional to 13,375.44, 18,457.49 and 7,406.64 is: 10,220.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.44 : 18,457.49 = 7,406.64 : x
  2. Step 2: Convert to fraction form
    13,375.44/18,457.49 = 7,406.64/x
  3. Step 3: Cross multiply
    13,375.44x = 18,457.49 × 7,406.64
  4. Step 4: Simplify right side
    13,375.44x = 136,708,002.25
  5. Step 5: Solve for x
    x = 136,708,002.25/13,375.44
  6. Step 6: Final answer
    x = 10,220.82

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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.