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Finding the Fourth Proportional to 7,875.64, 11,804.82 and 3,763

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Solution

The fourth proportional to 7,875.64, 11,804.82 and 3,763 is: 5,640.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,875.64 : 11,804.82 = 3,763 : x
  2. Step 2: Convert to fraction form
    7,875.64/11,804.82 = 3,763/x
  3. Step 3: Cross multiply
    7,875.64x = 11,804.82 × 3,763
  4. Step 4: Simplify right side
    7,875.64x = 44,421,537.66
  5. Step 5: Solve for x
    x = 44,421,537.66/7,875.64
  6. Step 6: Final answer
    x = 5,640.37

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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.