Home / 7,314.08-10,971.36-2,120

Finding the Fourth Proportional to 7,314.08, 10,971.36 and 2,120

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Solution

The fourth proportional to 7,314.08, 10,971.36 and 2,120 is: 3,180.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,314.08 : 10,971.36 = 2,120 : x
  2. Step 2: Convert to fraction form
    7,314.08/10,971.36 = 2,120/x
  3. Step 3: Cross multiply
    7,314.08x = 10,971.36 × 2,120
  4. Step 4: Simplify right side
    7,314.08x = 23,259,283.20
  5. Step 5: Solve for x
    x = 23,259,283.20/7,314.08
  6. Step 6: Final answer
    x = 3,180.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.