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Finding the Fourth Proportional to 14,476, 21,707.07 and 7,071.79

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Solution

The fourth proportional to 14,476, 21,707.07 and 7,071.79 is: 10,604.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,476 : 21,707.07 = 7,071.79 : x
  2. Step 2: Convert to fraction form
    14,476/21,707.07 = 7,071.79/x
  3. Step 3: Cross multiply
    14,476x = 21,707.07 × 7,071.79
  4. Step 4: Simplify right side
    14,476x = 153,507,840.56
  5. Step 5: Solve for x
    x = 153,507,840.56/14,476
  6. Step 6: Final answer
    x = 10,604.30

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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.