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Finding the Fourth Proportional to 39,713.12, 54,804 and 22,485.20

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Solution

The fourth proportional to 39,713.12, 54,804 and 22,485.20 is: 31,029.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,713.12 : 54,804 = 22,485.20 : x
  2. Step 2: Convert to fraction form
    39,713.12/54,804 = 22,485.20/x
  3. Step 3: Cross multiply
    39,713.12x = 54,804 × 22,485.20
  4. Step 4: Simplify right side
    39,713.12x = 1,232,278,900.80
  5. Step 5: Solve for x
    x = 1,232,278,900.80/39,713.12
  6. Step 6: Final answer
    x = 31,029.52

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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.