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Finding the Fourth Proportional to 5,141.43, 7,701.21 and 4,769.64

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Solution

The fourth proportional to 5,141.43, 7,701.21 and 4,769.64 is: 7,144.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,141.43 : 7,701.21 = 4,769.64 : x
  2. Step 2: Convert to fraction form
    5,141.43/7,701.21 = 4,769.64/x
  3. Step 3: Cross multiply
    5,141.43x = 7,701.21 × 4,769.64
  4. Step 4: Simplify right side
    5,141.43x = 36,731,999.26
  5. Step 5: Solve for x
    x = 36,731,999.26/5,141.43
  6. Step 6: Final answer
    x = 7,144.32

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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.