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Finding the Fourth Proportional to 7,749, 11,625.74 and 2,277

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Solution

The fourth proportional to 7,749, 11,625.74 and 2,277 is: 3,416.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,749 : 11,625.74 = 2,277 : x
  2. Step 2: Convert to fraction form
    7,749/11,625.74 = 2,277/x
  3. Step 3: Cross multiply
    7,749x = 11,625.74 × 2,277
  4. Step 4: Simplify right side
    7,749x = 26,471,809.98
  5. Step 5: Solve for x
    x = 26,471,809.98/7,749
  6. Step 6: Final answer
    x = 3,416.16

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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.