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Finding the Fourth Proportional to 2,652.96, 3,978.08 and 1,190.86

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Solution

The fourth proportional to 2,652.96, 3,978.08 and 1,190.86 is: 1,785.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,652.96 : 3,978.08 = 1,190.86 : x
  2. Step 2: Convert to fraction form
    2,652.96/3,978.08 = 1,190.86/x
  3. Step 3: Cross multiply
    2,652.96x = 3,978.08 × 1,190.86
  4. Step 4: Simplify right side
    2,652.96x = 4,737,320.45
  5. Step 5: Solve for x
    x = 4,737,320.45/2,652.96
  6. Step 6: Final answer
    x = 1,785.67

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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.