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Finding the Fourth Proportional to 13,578.92, 18,739.44 and 7,610.64

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Solution

The fourth proportional to 13,578.92, 18,739.44 and 7,610.64 is: 10,502.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,578.92 : 18,739.44 = 7,610.64 : x
  2. Step 2: Convert to fraction form
    13,578.92/18,739.44 = 7,610.64/x
  3. Step 3: Cross multiply
    13,578.92x = 18,739.44 × 7,610.64
  4. Step 4: Simplify right side
    13,578.92x = 142,619,131.64
  5. Step 5: Solve for x
    x = 142,619,131.64/13,578.92
  6. Step 6: Final answer
    x = 10,502.98

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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.