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Finding the Fourth Proportional to 2,813.72, 4,215.06 and 1,836.86

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Solution

The fourth proportional to 2,813.72, 4,215.06 and 1,836.86 is: 2,751.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,813.72 : 4,215.06 = 1,836.86 : x
  2. Step 2: Convert to fraction form
    2,813.72/4,215.06 = 1,836.86/x
  3. Step 3: Cross multiply
    2,813.72x = 4,215.06 × 1,836.86
  4. Step 4: Simplify right side
    2,813.72x = 7,742,454.04
  5. Step 5: Solve for x
    x = 7,742,454.04/2,813.72
  6. Step 6: Final answer
    x = 2,751.68

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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.