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Finding the Fourth Proportional to 8,287.92, 12,431.58 and 2,741.13

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Solution

The fourth proportional to 8,287.92, 12,431.58 and 2,741.13 is: 4,111.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,287.92 : 12,431.58 = 2,741.13 : x
  2. Step 2: Convert to fraction form
    8,287.92/12,431.58 = 2,741.13/x
  3. Step 3: Cross multiply
    8,287.92x = 12,431.58 × 2,741.13
  4. Step 4: Simplify right side
    8,287.92x = 34,076,563.18
  5. Step 5: Solve for x
    x = 34,076,563.18/8,287.92
  6. Step 6: Final answer
    x = 4,111.59

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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.