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Finding the Fourth Proportional to 3,112.44, 4,668.58 and 772.45

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Solution

The fourth proportional to 3,112.44, 4,668.58 and 772.45 is: 1,158.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,112.44 : 4,668.58 = 772.45 : x
  2. Step 2: Convert to fraction form
    3,112.44/4,668.58 = 772.45/x
  3. Step 3: Cross multiply
    3,112.44x = 4,668.58 × 772.45
  4. Step 4: Simplify right side
    3,112.44x = 3,606,233.92
  5. Step 5: Solve for x
    x = 3,606,233.92/3,112.44
  6. Step 6: Final answer
    x = 1,158.65

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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.