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Finding the Fourth Proportional to 35,978.28, 49,644.21 and 21,634.68

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Solution

The fourth proportional to 35,978.28, 49,644.21 and 21,634.68 is: 29,852.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,978.28 : 49,644.21 = 21,634.68 : x
  2. Step 2: Convert to fraction form
    35,978.28/49,644.21 = 21,634.68/x
  3. Step 3: Cross multiply
    35,978.28x = 49,644.21 × 21,634.68
  4. Step 4: Simplify right side
    35,978.28x = 1,074,036,597.20
  5. Step 5: Solve for x
    x = 1,074,036,597.20/35,978.28
  6. Step 6: Final answer
    x = 29,852.36

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1.5x scale

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.