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Finding the Fourth Proportional to 13,762.95, 20,736.24 and 12,448.22

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Solution

The fourth proportional to 13,762.95, 20,736.24 and 12,448.22 is: 18,755.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,762.95 : 20,736.24 = 12,448.22 : x
  2. Step 2: Convert to fraction form
    13,762.95/20,736.24 = 12,448.22/x
  3. Step 3: Cross multiply
    13,762.95x = 20,736.24 × 12,448.22
  4. Step 4: Simplify right side
    13,762.95x = 258,129,127.13
  5. Step 5: Solve for x
    x = 258,129,127.13/13,762.95
  6. Step 6: Final answer
    x = 18,755.37

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.