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Finding the Fourth Proportional to 3,142.09, 4,713.14 and 1,409.50

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Solution

The fourth proportional to 3,142.09, 4,713.14 and 1,409.50 is: 2,114.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,142.09 : 4,713.14 = 1,409.50 : x
  2. Step 2: Convert to fraction form
    3,142.09/4,713.14 = 1,409.50/x
  3. Step 3: Cross multiply
    3,142.09x = 4,713.14 × 1,409.50
  4. Step 4: Simplify right side
    3,142.09x = 6,643,170.83
  5. Step 5: Solve for x
    x = 6,643,170.83/3,142.09
  6. Step 6: Final answer
    x = 2,114.25

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1.5x scale

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.