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Finding the Fourth Proportional to 2,784.54, 4,182.16 and 2,672.34

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Solution

The fourth proportional to 2,784.54, 4,182.16 and 2,672.34 is: 4,013.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,784.54 : 4,182.16 = 2,672.34 : x
  2. Step 2: Convert to fraction form
    2,784.54/4,182.16 = 2,672.34/x
  3. Step 3: Cross multiply
    2,784.54x = 4,182.16 × 2,672.34
  4. Step 4: Simplify right side
    2,784.54x = 11,176,153.45
  5. Step 5: Solve for x
    x = 11,176,153.45/2,784.54
  6. Step 6: Final answer
    x = 4,013.64

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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.