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Finding the Fourth Proportional to 2,514.46, 3,771.78 and 783.10

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Solution

The fourth proportional to 2,514.46, 3,771.78 and 783.10 is: 1,174.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,514.46 : 3,771.78 = 783.10 : x
  2. Step 2: Convert to fraction form
    2,514.46/3,771.78 = 783.10/x
  3. Step 3: Cross multiply
    2,514.46x = 3,771.78 × 783.10
  4. Step 4: Simplify right side
    2,514.46x = 2,953,680.92
  5. Step 5: Solve for x
    x = 2,953,680.92/2,514.46
  6. Step 6: Final answer
    x = 1,174.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.