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Finding the Fourth Proportional to 4,731.27, 7,089.09 and 2,876.77

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Solution

The fourth proportional to 4,731.27, 7,089.09 and 2,876.77 is: 4,310.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,731.27 : 7,089.09 = 2,876.77 : x
  2. Step 2: Convert to fraction form
    4,731.27/7,089.09 = 2,876.77/x
  3. Step 3: Cross multiply
    4,731.27x = 7,089.09 × 2,876.77
  4. Step 4: Simplify right side
    4,731.27x = 20,393,681.44
  5. Step 5: Solve for x
    x = 20,393,681.44/4,731.27
  6. Step 6: Final answer
    x = 4,310.40

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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.