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Finding the Fourth Proportional to 13,705.19, 18,917.19 and 8,041.16

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Solution

The fourth proportional to 13,705.19, 18,917.19 and 8,041.16 is: 11,099.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,705.19 : 18,917.19 = 8,041.16 : x
  2. Step 2: Convert to fraction form
    13,705.19/18,917.19 = 8,041.16/x
  3. Step 3: Cross multiply
    13,705.19x = 18,917.19 × 8,041.16
  4. Step 4: Simplify right side
    13,705.19x = 152,116,056.95
  5. Step 5: Solve for x
    x = 152,116,056.95/13,705.19
  6. Step 6: Final answer
    x = 11,099.16

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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.