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Finding the Fourth Proportional to 2,015, 2,780.71 and 1,176.28

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Solution

The fourth proportional to 2,015, 2,780.71 and 1,176.28 is: 1,623.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,015 : 2,780.71 = 1,176.28 : x
  2. Step 2: Convert to fraction form
    2,015/2,780.71 = 1,176.28/x
  3. Step 3: Cross multiply
    2,015x = 2,780.71 × 1,176.28
  4. Step 4: Simplify right side
    2,015x = 3,270,893.56
  5. Step 5: Solve for x
    x = 3,270,893.56/2,015
  6. Step 6: Final answer
    x = 1,623.27

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1.5x scale

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.