Home / 7,974.28-11,961.47-2,780.16

Finding the Fourth Proportional to 7,974.28, 11,961.47 and 2,780.16

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Solution

The fourth proportional to 7,974.28, 11,961.47 and 2,780.16 is: 4,170.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,974.28 : 11,961.47 = 2,780.16 : x
  2. Step 2: Convert to fraction form
    7,974.28/11,961.47 = 2,780.16/x
  3. Step 3: Cross multiply
    7,974.28x = 11,961.47 × 2,780.16
  4. Step 4: Simplify right side
    7,974.28x = 33,254,762.53
  5. Step 5: Solve for x
    x = 33,254,762.53/7,974.28
  6. Step 6: Final answer
    x = 4,170.25

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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.