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Finding the Fourth Proportional to 3,182, 4,391.16 and 1,784.78

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Solution

The fourth proportional to 3,182, 4,391.16 and 1,784.78 is: 2,463.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,182 : 4,391.16 = 1,784.78 : x
  2. Step 2: Convert to fraction form
    3,182/4,391.16 = 1,784.78/x
  3. Step 3: Cross multiply
    3,182x = 4,391.16 × 1,784.78
  4. Step 4: Simplify right side
    3,182x = 7,837,254.54
  5. Step 5: Solve for x
    x = 7,837,254.54/3,182
  6. Step 6: Final answer
    x = 2,463.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.