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Finding the Fourth Proportional to 2,974.06, 4,460.91 and 782.74

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Solution

The fourth proportional to 2,974.06, 4,460.91 and 782.74 is: 1,174.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.06 : 4,460.91 = 782.74 : x
  2. Step 2: Convert to fraction form
    2,974.06/4,460.91 = 782.74/x
  3. Step 3: Cross multiply
    2,974.06x = 4,460.91 × 782.74
  4. Step 4: Simplify right side
    2,974.06x = 3,491,732.69
  5. Step 5: Solve for x
    x = 3,491,732.69/2,974.06
  6. Step 6: Final answer
    x = 1,174.06

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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.