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Finding the Fourth Proportional to 3,774.99, 5,211 and 3,675.63

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Solution

The fourth proportional to 3,774.99, 5,211 and 3,675.63 is: 5,073.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,774.99 : 5,211 = 3,675.63 : x
  2. Step 2: Convert to fraction form
    3,774.99/5,211 = 3,675.63/x
  3. Step 3: Cross multiply
    3,774.99x = 5,211 × 3,675.63
  4. Step 4: Simplify right side
    3,774.99x = 19,153,707.93
  5. Step 5: Solve for x
    x = 19,153,707.93/3,774.99
  6. Step 6: Final answer
    x = 5,073.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.