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Finding the Fourth Proportional to 3,556.50, 5,334.78 and 1,248

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Solution

The fourth proportional to 3,556.50, 5,334.78 and 1,248 is: 1,872.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,556.50 : 5,334.78 = 1,248 : x
  2. Step 2: Convert to fraction form
    3,556.50/5,334.78 = 1,248/x
  3. Step 3: Cross multiply
    3,556.50x = 5,334.78 × 1,248
  4. Step 4: Simplify right side
    3,556.50x = 6,657,805.44
  5. Step 5: Solve for x
    x = 6,657,805.44/3,556.50
  6. Step 6: Final answer
    x = 1,872.01

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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.