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Finding the Fourth Proportional to 21,754, 30,037.80 and 17,062.48

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Solution

The fourth proportional to 21,754, 30,037.80 and 17,062.48 is: 23,559.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,754 : 30,037.80 = 17,062.48 : x
  2. Step 2: Convert to fraction form
    21,754/30,037.80 = 17,062.48/x
  3. Step 3: Cross multiply
    21,754x = 30,037.80 × 17,062.48
  4. Step 4: Simplify right side
    21,754x = 512,519,361.74
  5. Step 5: Solve for x
    x = 512,519,361.74/21,754
  6. Step 6: Final answer
    x = 23,559.78

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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.