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Finding the Fourth Proportional to 15,463, 23,175.48 and 7,131.45

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Solution

The fourth proportional to 15,463, 23,175.48 and 7,131.45 is: 10,688.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,463 : 23,175.48 = 7,131.45 : x
  2. Step 2: Convert to fraction form
    15,463/23,175.48 = 7,131.45/x
  3. Step 3: Cross multiply
    15,463x = 23,175.48 × 7,131.45
  4. Step 4: Simplify right side
    15,463x = 165,274,776.85
  5. Step 5: Solve for x
    x = 165,274,776.85/15,463
  6. Step 6: Final answer
    x = 10,688.40

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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.