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Finding the Fourth Proportional to 11,172.29, 16,739.97 and 7,878.47

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Solution

The fourth proportional to 11,172.29, 16,739.97 and 7,878.47 is: 11,804.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,172.29 : 16,739.97 = 7,878.47 : x
  2. Step 2: Convert to fraction form
    11,172.29/16,739.97 = 7,878.47/x
  3. Step 3: Cross multiply
    11,172.29x = 16,739.97 × 7,878.47
  4. Step 4: Simplify right side
    11,172.29x = 131,885,267.75
  5. Step 5: Solve for x
    x = 131,885,267.75/11,172.29
  6. Step 6: Final answer
    x = 11,804.68

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1.5x scale

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.