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Finding the Fourth Proportional to 10,643.01, 15,954.06 and 3,974.63

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Solution

The fourth proportional to 10,643.01, 15,954.06 and 3,974.63 is: 5,958.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,643.01 : 15,954.06 = 3,974.63 : x
  2. Step 2: Convert to fraction form
    10,643.01/15,954.06 = 3,974.63/x
  3. Step 3: Cross multiply
    10,643.01x = 15,954.06 × 3,974.63
  4. Step 4: Simplify right side
    10,643.01x = 63,411,405.73
  5. Step 5: Solve for x
    x = 63,411,405.73/10,643.01
  6. Step 6: Final answer
    x = 5,958.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.