Home / 2,242-3,094.37-1,298.40

Finding the Fourth Proportional to 2,242, 3,094.37 and 1,298.40

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Solution

The fourth proportional to 2,242, 3,094.37 and 1,298.40 is: 1,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,242 : 3,094.37 = 1,298.40 : x
  2. Step 2: Convert to fraction form
    2,242/3,094.37 = 1,298.40/x
  3. Step 3: Cross multiply
    2,242x = 3,094.37 × 1,298.40
  4. Step 4: Simplify right side
    2,242x = 4,017,730.01
  5. Step 5: Solve for x
    x = 4,017,730.01/2,242
  6. Step 6: Final answer
    x = 1,792.03

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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.