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Finding the Fourth Proportional to 5,558.64, 7,671.60 and 3,169.20

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Solution

The fourth proportional to 5,558.64, 7,671.60 and 3,169.20 is: 4,373.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,558.64 : 7,671.60 = 3,169.20 : x
  2. Step 2: Convert to fraction form
    5,558.64/7,671.60 = 3,169.20/x
  3. Step 3: Cross multiply
    5,558.64x = 7,671.60 × 3,169.20
  4. Step 4: Simplify right side
    5,558.64x = 24,312,834.72
  5. Step 5: Solve for x
    x = 24,312,834.72/5,558.64
  6. Step 6: Final answer
    x = 4,373.88

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Why These Related Problems?

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