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Finding the Fourth Proportional to 7,761, 11,643.74 and 2,289

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Solution

The fourth proportional to 7,761, 11,643.74 and 2,289 is: 3,434.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761 : 11,643.74 = 2,289 : x
  2. Step 2: Convert to fraction form
    7,761/11,643.74 = 2,289/x
  3. Step 3: Cross multiply
    7,761x = 11,643.74 × 2,289
  4. Step 4: Simplify right side
    7,761x = 26,652,520.86
  5. Step 5: Solve for x
    x = 26,652,520.86/7,761
  6. Step 6: Final answer
    x = 3,434.16

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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.