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Finding the Fourth Proportional to 2,974.80, 4,461.75 and 783.66

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Solution

The fourth proportional to 2,974.80, 4,461.75 and 783.66 is: 1,175.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,974.80 : 4,461.75 = 783.66 : x
  2. Step 2: Convert to fraction form
    2,974.80/4,461.75 = 783.66/x
  3. Step 3: Cross multiply
    2,974.80x = 4,461.75 × 783.66
  4. Step 4: Simplify right side
    2,974.80x = 3,496,495.01
  5. Step 5: Solve for x
    x = 3,496,495.01/2,974.80
  6. Step 6: Final answer
    x = 1,175.37

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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.