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Finding the Fourth Proportional to 14,491.54, 19,998.40 and 8,205.14

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Solution

The fourth proportional to 14,491.54, 19,998.40 and 8,205.14 is: 11,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,491.54 : 19,998.40 = 8,205.14 : x
  2. Step 2: Convert to fraction form
    14,491.54/19,998.40 = 8,205.14/x
  3. Step 3: Cross multiply
    14,491.54x = 19,998.40 × 8,205.14
  4. Step 4: Simplify right side
    14,491.54x = 164,089,671.78
  5. Step 5: Solve for x
    x = 164,089,671.78/14,491.54
  6. Step 6: Final answer
    x = 11,323.14

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Double scale
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1.5x scale

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.