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Finding the Fourth Proportional to 3,888.45, 5,830.53 and 2,657.25

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Solution

The fourth proportional to 3,888.45, 5,830.53 and 2,657.25 is: 3,984.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,888.45 : 5,830.53 = 2,657.25 : x
  2. Step 2: Convert to fraction form
    3,888.45/5,830.53 = 2,657.25/x
  3. Step 3: Cross multiply
    3,888.45x = 5,830.53 × 2,657.25
  4. Step 4: Simplify right side
    3,888.45x = 15,493,175.84
  5. Step 5: Solve for x
    x = 15,493,175.84/3,888.45
  6. Step 6: Final answer
    x = 3,984.41

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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.