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Finding the Fourth Proportional to 2,508.84, 3,763.08 and 777.42

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Solution

The fourth proportional to 2,508.84, 3,763.08 and 777.42 is: 1,166.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,508.84 : 3,763.08 = 777.42 : x
  2. Step 2: Convert to fraction form
    2,508.84/3,763.08 = 777.42/x
  3. Step 3: Cross multiply
    2,508.84x = 3,763.08 × 777.42
  4. Step 4: Simplify right side
    2,508.84x = 2,925,493.65
  5. Step 5: Solve for x
    x = 2,925,493.65/2,508.84
  6. Step 6: Final answer
    x = 1,166.07

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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.