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Finding the Fourth Proportional to 8,543.10, 12,804.60 and 3,857.64

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Solution

The fourth proportional to 8,543.10, 12,804.60 and 3,857.64 is: 5,781.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543.10 : 12,804.60 = 3,857.64 : x
  2. Step 2: Convert to fraction form
    8,543.10/12,804.60 = 3,857.64/x
  3. Step 3: Cross multiply
    8,543.10x = 12,804.60 × 3,857.64
  4. Step 4: Simplify right side
    8,543.10x = 49,395,537.14
  5. Step 5: Solve for x
    x = 49,395,537.14/8,543.10
  6. Step 6: Final answer
    x = 5,781.92

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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.