Home / 2,970.64-4,099.12-1,644.27

Finding the Fourth Proportional to 2,970.64, 4,099.12 and 1,644.27

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Solution

The fourth proportional to 2,970.64, 4,099.12 and 1,644.27 is: 2,268.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.64 : 4,099.12 = 1,644.27 : x
  2. Step 2: Convert to fraction form
    2,970.64/4,099.12 = 1,644.27/x
  3. Step 3: Cross multiply
    2,970.64x = 4,099.12 × 1,644.27
  4. Step 4: Simplify right side
    2,970.64x = 6,740,060.04
  5. Step 5: Solve for x
    x = 6,740,060.04/2,970.64
  6. Step 6: Final answer
    x = 2,268.89

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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.