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Finding the Fourth Proportional to 7,720.84, 11,578.83 and 2,525.50

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Solution

The fourth proportional to 7,720.84, 11,578.83 and 2,525.50 is: 3,787.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,720.84 : 11,578.83 = 2,525.50 : x
  2. Step 2: Convert to fraction form
    7,720.84/11,578.83 = 2,525.50/x
  3. Step 3: Cross multiply
    7,720.84x = 11,578.83 × 2,525.50
  4. Step 4: Simplify right side
    7,720.84x = 29,242,335.17
  5. Step 5: Solve for x
    x = 29,242,335.17/7,720.84
  6. Step 6: Final answer
    x = 3,787.46

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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.