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Finding the Fourth Proportional to 3,051.04, 4,576.64 and 860

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Solution

The fourth proportional to 3,051.04, 4,576.64 and 860 is: 1,290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,051.04 : 4,576.64 = 860 : x
  2. Step 2: Convert to fraction form
    3,051.04/4,576.64 = 860/x
  3. Step 3: Cross multiply
    3,051.04x = 4,576.64 × 860
  4. Step 4: Simplify right side
    3,051.04x = 3,935,910.40
  5. Step 5: Solve for x
    x = 3,935,910.40/3,051.04
  6. Step 6: Final answer
    x = 1,290.02

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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.