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Finding the Fourth Proportional to 13,969.94, 19,282.61 and 8,308.68

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Solution

The fourth proportional to 13,969.94, 19,282.61 and 8,308.68 is: 11,468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,969.94 : 19,282.61 = 8,308.68 : x
  2. Step 2: Convert to fraction form
    13,969.94/19,282.61 = 8,308.68/x
  3. Step 3: Cross multiply
    13,969.94x = 19,282.61 × 8,308.68
  4. Step 4: Simplify right side
    13,969.94x = 160,212,994.51
  5. Step 5: Solve for x
    x = 160,212,994.51/13,969.94
  6. Step 6: Final answer
    x = 11,468.41

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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.