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Finding the Fourth Proportional to 7,671.78, 11,509.29 and 2,477.25

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Solution

The fourth proportional to 7,671.78, 11,509.29 and 2,477.25 is: 3,716.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,671.78 : 11,509.29 = 2,477.25 : x
  2. Step 2: Convert to fraction form
    7,671.78/11,509.29 = 2,477.25/x
  3. Step 3: Cross multiply
    7,671.78x = 11,509.29 × 2,477.25
  4. Step 4: Simplify right side
    7,671.78x = 28,511,388.65
  5. Step 5: Solve for x
    x = 28,511,388.65/7,671.78
  6. Step 6: Final answer
    x = 3,716.40

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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.