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Finding the Fourth Proportional to 3,409.58, 5,142.70 and 3,003.80

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Solution

The fourth proportional to 3,409.58, 5,142.70 and 3,003.80 is: 4,530.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.58 : 5,142.70 = 3,003.80 : x
  2. Step 2: Convert to fraction form
    3,409.58/5,142.70 = 3,003.80/x
  3. Step 3: Cross multiply
    3,409.58x = 5,142.70 × 3,003.80
  4. Step 4: Simplify right side
    3,409.58x = 15,447,642.26
  5. Step 5: Solve for x
    x = 15,447,642.26/3,409.58
  6. Step 6: Final answer
    x = 4,530.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.