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Finding the Fourth Proportional to 2,880.65, 3,973.91 and 2,768.87

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Solution

The fourth proportional to 2,880.65, 3,973.91 and 2,768.87 is: 3,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,880.65 : 3,973.91 = 2,768.87 : x
  2. Step 2: Convert to fraction form
    2,880.65/3,973.91 = 2,768.87/x
  3. Step 3: Cross multiply
    2,880.65x = 3,973.91 × 2,768.87
  4. Step 4: Simplify right side
    2,880.65x = 11,003,206.47
  5. Step 5: Solve for x
    x = 11,003,206.47/2,880.65
  6. Step 6: Final answer
    x = 3,819.70

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