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Finding the Fourth Proportional to 35,782.32, 49,380.48 and 19,866

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Solution

The fourth proportional to 35,782.32, 49,380.48 and 19,866 is: 27,415.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,782.32 : 49,380.48 = 19,866 : x
  2. Step 2: Convert to fraction form
    35,782.32/49,380.48 = 19,866/x
  3. Step 3: Cross multiply
    35,782.32x = 49,380.48 × 19,866
  4. Step 4: Simplify right side
    35,782.32x = 980,992,615.68
  5. Step 5: Solve for x
    x = 980,992,615.68/35,782.32
  6. Step 6: Final answer
    x = 27,415.57

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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.