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Finding the Fourth Proportional to 4,879.04, 6,733.76 and 2,784

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Solution

The fourth proportional to 4,879.04, 6,733.76 and 2,784 is: 3,842.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.04 : 6,733.76 = 2,784 : x
  2. Step 2: Convert to fraction form
    4,879.04/6,733.76 = 2,784/x
  3. Step 3: Cross multiply
    4,879.04x = 6,733.76 × 2,784
  4. Step 4: Simplify right side
    4,879.04x = 18,746,787.84
  5. Step 5: Solve for x
    x = 18,746,787.84/4,879.04
  6. Step 6: Final answer
    x = 3,842.31

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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.