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Finding the Fourth Proportional to 13,117.71, 19,659.54 and 5,322.27

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Solution

The fourth proportional to 13,117.71, 19,659.54 and 5,322.27 is: 7,976.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,117.71 : 19,659.54 = 5,322.27 : x
  2. Step 2: Convert to fraction form
    13,117.71/19,659.54 = 5,322.27/x
  3. Step 3: Cross multiply
    13,117.71x = 19,659.54 × 5,322.27
  4. Step 4: Simplify right side
    13,117.71x = 104,633,379.96
  5. Step 5: Solve for x
    x = 104,633,379.96/13,117.71
  6. Step 6: Final answer
    x = 7,976.50

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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.