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Finding the Fourth Proportional to 4,509.84, 6,768 and 2,779.68

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Solution

The fourth proportional to 4,509.84, 6,768 and 2,779.68 is: 4,171.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,509.84 : 6,768 = 2,779.68 : x
  2. Step 2: Convert to fraction form
    4,509.84/6,768 = 2,779.68/x
  3. Step 3: Cross multiply
    4,509.84x = 6,768 × 2,779.68
  4. Step 4: Simplify right side
    4,509.84x = 18,812,874.24
  5. Step 5: Solve for x
    x = 18,812,874.24/4,509.84
  6. Step 6: Final answer
    x = 4,171.52

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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.