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Finding the Fourth Proportional to 7,677, 11,515.50 and 2,205

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Solution

The fourth proportional to 7,677, 11,515.50 and 2,205 is: 3,307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,677 : 11,515.50 = 2,205 : x
  2. Step 2: Convert to fraction form
    7,677/11,515.50 = 2,205/x
  3. Step 3: Cross multiply
    7,677x = 11,515.50 × 2,205
  4. Step 4: Simplify right side
    7,677x = 25,391,677.50
  5. Step 5: Solve for x
    x = 25,391,677.50/7,677
  6. Step 6: Final answer
    x = 3,307.50

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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.