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Finding the Fourth Proportional to 7,763, 11,646.74 and 2,291

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Solution

The fourth proportional to 7,763, 11,646.74 and 2,291 is: 3,437.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,763 : 11,646.74 = 2,291 : x
  2. Step 2: Convert to fraction form
    7,763/11,646.74 = 2,291/x
  3. Step 3: Cross multiply
    7,763x = 11,646.74 × 2,291
  4. Step 4: Simplify right side
    7,763x = 26,682,681.34
  5. Step 5: Solve for x
    x = 26,682,681.34/7,763
  6. Step 6: Final answer
    x = 3,437.16

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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.