Home / 2,116-2,922.24-2,101.60

Finding the Fourth Proportional to 2,116, 2,922.24 and 2,101.60

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Solution

The fourth proportional to 2,116, 2,922.24 and 2,101.60 is: 2,902.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,116 : 2,922.24 = 2,101.60 : x
  2. Step 2: Convert to fraction form
    2,116/2,922.24 = 2,101.60/x
  3. Step 3: Cross multiply
    2,116x = 2,922.24 × 2,101.60
  4. Step 4: Simplify right side
    2,116x = 6,141,379.58
  5. Step 5: Solve for x
    x = 6,141,379.58/2,116
  6. Step 6: Final answer
    x = 2,902.35

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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.