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Finding the Fourth Proportional to 3,052.50, 4,578.72 and 860.94

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Solution

The fourth proportional to 3,052.50, 4,578.72 and 860.94 is: 1,291.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.50 : 4,578.72 = 860.94 : x
  2. Step 2: Convert to fraction form
    3,052.50/4,578.72 = 860.94/x
  3. Step 3: Cross multiply
    3,052.50x = 4,578.72 × 860.94
  4. Step 4: Simplify right side
    3,052.50x = 3,942,003.20
  5. Step 5: Solve for x
    x = 3,942,003.20/3,052.50
  6. Step 6: Final answer
    x = 1,291.40

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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.