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Finding the Fourth Proportional to 11,287.95, 16,942.31 and 5,745.25

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Solution

The fourth proportional to 11,287.95, 16,942.31 and 5,745.25 is: 8,623.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,287.95 : 16,942.31 = 5,745.25 : x
  2. Step 2: Convert to fraction form
    11,287.95/16,942.31 = 5,745.25/x
  3. Step 3: Cross multiply
    11,287.95x = 16,942.31 × 5,745.25
  4. Step 4: Simplify right side
    11,287.95x = 97,337,806.53
  5. Step 5: Solve for x
    x = 97,337,806.53/11,287.95
  6. Step 6: Final answer
    x = 8,623.16

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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.