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Finding the Fourth Proportional to 14,066, 19,411.92 and 7,778.24

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Solution

The fourth proportional to 14,066, 19,411.92 and 7,778.24 is: 10,734.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,066 : 19,411.92 = 7,778.24 : x
  2. Step 2: Convert to fraction form
    14,066/19,411.92 = 7,778.24/x
  3. Step 3: Cross multiply
    14,066x = 19,411.92 × 7,778.24
  4. Step 4: Simplify right side
    14,066x = 150,990,572.62
  5. Step 5: Solve for x
    x = 150,990,572.62/14,066
  6. Step 6: Final answer
    x = 10,734.44

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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.