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Finding the Fourth Proportional to 3,091, 4,636.50 and 1,039

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Solution

The fourth proportional to 3,091, 4,636.50 and 1,039 is: 1,558.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,091 : 4,636.50 = 1,039 : x
  2. Step 2: Convert to fraction form
    3,091/4,636.50 = 1,039/x
  3. Step 3: Cross multiply
    3,091x = 4,636.50 × 1,039
  4. Step 4: Simplify right side
    3,091x = 4,817,323.50
  5. Step 5: Solve for x
    x = 4,817,323.50/3,091
  6. Step 6: Final answer
    x = 1,558.50

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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.