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Finding the Fourth Proportional to 4,885.60, 7,317.60 and 3,786.40

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Solution

The fourth proportional to 4,885.60, 7,317.60 and 3,786.40 is: 5,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,885.60 : 7,317.60 = 3,786.40 : x
  2. Step 2: Convert to fraction form
    4,885.60/7,317.60 = 3,786.40/x
  3. Step 3: Cross multiply
    4,885.60x = 7,317.60 × 3,786.40
  4. Step 4: Simplify right side
    4,885.60x = 27,707,360.64
  5. Step 5: Solve for x
    x = 27,707,360.64/4,885.60
  6. Step 6: Final answer
    x = 5,671.23

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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.