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Finding the Fourth Proportional to 15,643.86, 23,463 and 7,743.84

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Solution

The fourth proportional to 15,643.86, 23,463 and 7,743.84 is: 11,614.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,643.86 : 23,463 = 7,743.84 : x
  2. Step 2: Convert to fraction form
    15,643.86/23,463 = 7,743.84/x
  3. Step 3: Cross multiply
    15,643.86x = 23,463 × 7,743.84
  4. Step 4: Simplify right side
    15,643.86x = 181,693,717.92
  5. Step 5: Solve for x
    x = 181,693,717.92/15,643.86
  6. Step 6: Final answer
    x = 11,614.38

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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.