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Finding the Fourth Proportional to 13,906, 20,866.35 and 7,585.44

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Solution

The fourth proportional to 13,906, 20,866.35 and 7,585.44 is: 11,382.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,906 : 20,866.35 = 7,585.44 : x
  2. Step 2: Convert to fraction form
    13,906/20,866.35 = 7,585.44/x
  3. Step 3: Cross multiply
    13,906x = 20,866.35 × 7,585.44
  4. Step 4: Simplify right side
    13,906x = 158,280,445.94
  5. Step 5: Solve for x
    x = 158,280,445.94/13,906
  6. Step 6: Final answer
    x = 11,382.17

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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.