Home / 2,970.45-4,098.96-1,644.14

Finding the Fourth Proportional to 2,970.45, 4,098.96 and 1,644.14

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Solution

The fourth proportional to 2,970.45, 4,098.96 and 1,644.14 is: 2,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,970.45 : 4,098.96 = 1,644.14 : x
  2. Step 2: Convert to fraction form
    2,970.45/4,098.96 = 1,644.14/x
  3. Step 3: Cross multiply
    2,970.45x = 4,098.96 × 1,644.14
  4. Step 4: Simplify right side
    2,970.45x = 6,739,274.34
  5. Step 5: Solve for x
    x = 6,739,274.34/2,970.45
  6. Step 6: Final answer
    x = 2,268.77

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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.