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Finding the Fourth Proportional to 3,052.43, 4,578 and 860.57

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Solution

The fourth proportional to 3,052.43, 4,578 and 860.57 is: 1,290.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.43 : 4,578 = 860.57 : x
  2. Step 2: Convert to fraction form
    3,052.43/4,578 = 860.57/x
  3. Step 3: Cross multiply
    3,052.43x = 4,578 × 860.57
  4. Step 4: Simplify right side
    3,052.43x = 3,939,689.46
  5. Step 5: Solve for x
    x = 3,939,689.46/3,052.43
  6. Step 6: Final answer
    x = 1,290.67

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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.