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Finding the Fourth Proportional to 3,051.73, 4,576.96 and 860.47

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Solution

The fourth proportional to 3,051.73, 4,576.96 and 860.47 is: 1,290.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.73 : 4,576.96 = 860.47 : x
  2. Step 2: Convert to fraction form
    3,051.73/4,576.96 = 860.47/x
  3. Step 3: Cross multiply
    3,051.73x = 4,576.96 × 860.47
  4. Step 4: Simplify right side
    3,051.73x = 3,938,336.77
  5. Step 5: Solve for x
    x = 3,938,336.77/3,051.73
  6. Step 6: Final answer
    x = 1,290.53

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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.