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Finding the Fourth Proportional to 7,577, 11,365.50 and 2,105

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Solution

The fourth proportional to 7,577, 11,365.50 and 2,105 is: 3,157.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,577 : 11,365.50 = 2,105 : x
  2. Step 2: Convert to fraction form
    7,577/11,365.50 = 2,105/x
  3. Step 3: Cross multiply
    7,577x = 11,365.50 × 2,105
  4. Step 4: Simplify right side
    7,577x = 23,924,377.50
  5. Step 5: Solve for x
    x = 23,924,377.50/7,577
  6. Step 6: Final answer
    x = 3,157.50

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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.