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Finding the Fourth Proportional to 13,813.58, 20,726.50 and 7,238.21

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Solution

The fourth proportional to 13,813.58, 20,726.50 and 7,238.21 is: 10,860.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.58 : 20,726.50 = 7,238.21 : x
  2. Step 2: Convert to fraction form
    13,813.58/20,726.50 = 7,238.21/x
  3. Step 3: Cross multiply
    13,813.58x = 20,726.50 × 7,238.21
  4. Step 4: Simplify right side
    13,813.58x = 150,022,637.84
  5. Step 5: Solve for x
    x = 150,022,637.84/13,813.58
  6. Step 6: Final answer
    x = 10,860.52

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.