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Finding the Fourth Proportional to 6,271.63, 8,657.22 and 5,383.87

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Solution

The fourth proportional to 6,271.63, 8,657.22 and 5,383.87 is: 7,431.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,271.63 : 8,657.22 = 5,383.87 : x
  2. Step 2: Convert to fraction form
    6,271.63/8,657.22 = 5,383.87/x
  3. Step 3: Cross multiply
    6,271.63x = 8,657.22 × 5,383.87
  4. Step 4: Simplify right side
    6,271.63x = 46,609,347.04
  5. Step 5: Solve for x
    x = 46,609,347.04/6,271.63
  6. Step 6: Final answer
    x = 7,431.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.