Home / 2,970.93-4,099.88-1,644.56

Finding the Fourth Proportional to 2,970.93, 4,099.88 and 1,644.56

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Solution

The fourth proportional to 2,970.93, 4,099.88 and 1,644.56 is: 2,269.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.93 : 4,099.88 = 1,644.56 : x
  2. Step 2: Convert to fraction form
    2,970.93/4,099.88 = 1,644.56/x
  3. Step 3: Cross multiply
    2,970.93x = 4,099.88 × 1,644.56
  4. Step 4: Simplify right side
    2,970.93x = 6,742,498.65
  5. Step 5: Solve for x
    x = 6,742,498.65/2,970.93
  6. Step 6: Final answer
    x = 2,269.49

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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.