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Finding the Fourth Proportional to 2,679.46, 3,697.78 and 1,500.50

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Solution

The fourth proportional to 2,679.46, 3,697.78 and 1,500.50 is: 2,070.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,679.46 : 3,697.78 = 1,500.50 : x
  2. Step 2: Convert to fraction form
    2,679.46/3,697.78 = 1,500.50/x
  3. Step 3: Cross multiply
    2,679.46x = 3,697.78 × 1,500.50
  4. Step 4: Simplify right side
    2,679.46x = 5,548,518.89
  5. Step 5: Solve for x
    x = 5,548,518.89/2,679.46
  6. Step 6: Final answer
    x = 2,070.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.