Home / 2,970.77-4,099.68-1,644.50

Finding the Fourth Proportional to 2,970.77, 4,099.68 and 1,644.50

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Solution

The fourth proportional to 2,970.77, 4,099.68 and 1,644.50 is: 2,269.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.77 : 4,099.68 = 1,644.50 : x
  2. Step 2: Convert to fraction form
    2,970.77/4,099.68 = 1,644.50/x
  3. Step 3: Cross multiply
    2,970.77x = 4,099.68 × 1,644.50
  4. Step 4: Simplify right side
    2,970.77x = 6,741,923.76
  5. Step 5: Solve for x
    x = 6,741,923.76/2,970.77
  6. Step 6: Final answer
    x = 2,269.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.