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Finding the Fourth Proportional to 19,702, 27,188.76 and 11,323.36

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Solution

The fourth proportional to 19,702, 27,188.76 and 11,323.36 is: 15,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,702 : 27,188.76 = 11,323.36 : x
  2. Step 2: Convert to fraction form
    19,702/27,188.76 = 11,323.36/x
  3. Step 3: Cross multiply
    19,702x = 27,188.76 × 11,323.36
  4. Step 4: Simplify right side
    19,702x = 307,868,117.43
  5. Step 5: Solve for x
    x = 307,868,117.43/19,702
  6. Step 6: Final answer
    x = 15,626.24

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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.