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Finding the Fourth Proportional to 13,705.82, 20,566.97 and 5,914.63

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Solution

The fourth proportional to 13,705.82, 20,566.97 and 5,914.63 is: 8,875.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.82 : 20,566.97 = 5,914.63 : x
  2. Step 2: Convert to fraction form
    13,705.82/20,566.97 = 5,914.63/x
  3. Step 3: Cross multiply
    13,705.82x = 20,566.97 × 5,914.63
  4. Step 4: Simplify right side
    13,705.82x = 121,646,017.77
  5. Step 5: Solve for x
    x = 121,646,017.77/13,705.82
  6. Step 6: Final answer
    x = 8,875.50

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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.