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Finding the Fourth Proportional to 13,923.86, 19,213.86 and 7,636.22

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Solution

The fourth proportional to 13,923.86, 19,213.86 and 7,636.22 is: 10,537.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,923.86 : 19,213.86 = 7,636.22 : x
  2. Step 2: Convert to fraction form
    13,923.86/19,213.86 = 7,636.22/x
  3. Step 3: Cross multiply
    13,923.86x = 19,213.86 × 7,636.22
  4. Step 4: Simplify right side
    13,923.86x = 146,721,262.01
  5. Step 5: Solve for x
    x = 146,721,262.01/13,923.86
  6. Step 6: Final answer
    x = 10,537.40

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1.5x scale

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.