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Finding the Fourth Proportional to 8,269.77, 12,397.37 and 3,072

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Solution

The fourth proportional to 8,269.77, 12,397.37 and 3,072 is: 4,605.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,269.77 : 12,397.37 = 3,072 : x
  2. Step 2: Convert to fraction form
    8,269.77/12,397.37 = 3,072/x
  3. Step 3: Cross multiply
    8,269.77x = 12,397.37 × 3,072
  4. Step 4: Simplify right side
    8,269.77x = 38,084,705.28
  5. Step 5: Solve for x
    x = 38,084,705.28/8,269.77
  6. Step 6: Final answer
    x = 4,605.29

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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.