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Finding the Fourth Proportional to 13,706.08, 18,913.44 and 8,116

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Solution

The fourth proportional to 13,706.08, 18,913.44 and 8,116 is: 11,199.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,706.08 : 18,913.44 = 8,116 : x
  2. Step 2: Convert to fraction form
    13,706.08/18,913.44 = 8,116/x
  3. Step 3: Cross multiply
    13,706.08x = 18,913.44 × 8,116
  4. Step 4: Simplify right side
    13,706.08x = 153,501,479.04
  5. Step 5: Solve for x
    x = 153,501,479.04/13,706.08
  6. Step 6: Final answer
    x = 11,199.52

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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.