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Finding the Fourth Proportional to 5,407.93, 8,111.89 and 2,287.44

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Solution

The fourth proportional to 5,407.93, 8,111.89 and 2,287.44 is: 3,431.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407.93 : 8,111.89 = 2,287.44 : x
  2. Step 2: Convert to fraction form
    5,407.93/8,111.89 = 2,287.44/x
  3. Step 3: Cross multiply
    5,407.93x = 8,111.89 × 2,287.44
  4. Step 4: Simplify right side
    5,407.93x = 18,555,421.10
  5. Step 5: Solve for x
    x = 18,555,421.10/5,407.93
  6. Step 6: Final answer
    x = 3,431.15

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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.