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Finding the Fourth Proportional to 35,286, 48,704.01 and 21,849.62

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Solution

The fourth proportional to 35,286, 48,704.01 and 21,849.62 is: 30,158.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,286 : 48,704.01 = 21,849.62 : x
  2. Step 2: Convert to fraction form
    35,286/48,704.01 = 21,849.62/x
  3. Step 3: Cross multiply
    35,286x = 48,704.01 × 21,849.62
  4. Step 4: Simplify right side
    35,286x = 1,064,163,867.46
  5. Step 5: Solve for x
    x = 1,064,163,867.46/35,286
  6. Step 6: Final answer
    x = 30,158.25

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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.