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Finding the Fourth Proportional to 39,782.68, 54,899.04 and 21,879.52

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Solution

The fourth proportional to 39,782.68, 54,899.04 and 21,879.52 is: 30,193.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782.68 : 54,899.04 = 21,879.52 : x
  2. Step 2: Convert to fraction form
    39,782.68/54,899.04 = 21,879.52/x
  3. Step 3: Cross multiply
    39,782.68x = 54,899.04 × 21,879.52
  4. Step 4: Simplify right side
    39,782.68x = 1,201,164,643.66
  5. Step 5: Solve for x
    x = 1,201,164,643.66/39,782.68
  6. Step 6: Final answer
    x = 30,193.16

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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.