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Finding the Fourth Proportional to 7,970.58, 11,955.78 and 2,776.44

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Solution

The fourth proportional to 7,970.58, 11,955.78 and 2,776.44 is: 4,164.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.58 : 11,955.78 = 2,776.44 : x
  2. Step 2: Convert to fraction form
    7,970.58/11,955.78 = 2,776.44/x
  3. Step 3: Cross multiply
    7,970.58x = 11,955.78 × 2,776.44
  4. Step 4: Simplify right side
    7,970.58x = 33,194,505.82
  5. Step 5: Solve for x
    x = 33,194,505.82/7,970.58
  6. Step 6: Final answer
    x = 4,164.63

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1.5x scale

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.