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Finding the Fourth Proportional to 2,758.30, 4,137.66 and 783.90

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Solution

The fourth proportional to 2,758.30, 4,137.66 and 783.90 is: 1,175.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,758.30 : 4,137.66 = 783.90 : x
  2. Step 2: Convert to fraction form
    2,758.30/4,137.66 = 783.90/x
  3. Step 3: Cross multiply
    2,758.30x = 4,137.66 × 783.90
  4. Step 4: Simplify right side
    2,758.30x = 3,243,490.99
  5. Step 5: Solve for x
    x = 3,243,490.99/2,758.30
  6. Step 6: Final answer
    x = 1,175.90

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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.