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Finding the Fourth Proportional to 13,878.99, 20,813.22 and 4,991.94

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Solution

The fourth proportional to 13,878.99, 20,813.22 and 4,991.94 is: 7,486.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,878.99 : 20,813.22 = 4,991.94 : x
  2. Step 2: Convert to fraction form
    13,878.99/20,813.22 = 4,991.94/x
  3. Step 3: Cross multiply
    13,878.99x = 20,813.22 × 4,991.94
  4. Step 4: Simplify right side
    13,878.99x = 103,898,345.45
  5. Step 5: Solve for x
    x = 103,898,345.45/13,878.99
  6. Step 6: Final answer
    x = 7,486.02

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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.