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Finding the Fourth Proportional to 2,974.11, 4,460.82 and 783

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Solution

The fourth proportional to 2,974.11, 4,460.82 and 783 is: 1,174.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.11 : 4,460.82 = 783 : x
  2. Step 2: Convert to fraction form
    2,974.11/4,460.82 = 783/x
  3. Step 3: Cross multiply
    2,974.11x = 4,460.82 × 783
  4. Step 4: Simplify right side
    2,974.11x = 3,492,822.06
  5. Step 5: Solve for x
    x = 3,492,822.06/2,974.11
  6. Step 6: Final answer
    x = 1,174.41

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Double scale
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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.