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Finding the Fourth Proportional to 13,323.18, 19,978.97 and 7,081.70

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Solution

The fourth proportional to 13,323.18, 19,978.97 and 7,081.70 is: 10,619.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,323.18 : 19,978.97 = 7,081.70 : x
  2. Step 2: Convert to fraction form
    13,323.18/19,978.97 = 7,081.70/x
  3. Step 3: Cross multiply
    13,323.18x = 19,978.97 × 7,081.70
  4. Step 4: Simplify right side
    13,323.18x = 141,484,936.55
  5. Step 5: Solve for x
    x = 141,484,936.55/13,323.18
  6. Step 6: Final answer
    x = 10,619.46

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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.