Home / 3,133.82-4,703.02-2,314.30

Finding the Fourth Proportional to 3,133.82, 4,703.02 and 2,314.30

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Solution

The fourth proportional to 3,133.82, 4,703.02 and 2,314.30 is: 3,473.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,133.82 : 4,703.02 = 2,314.30 : x
  2. Step 2: Convert to fraction form
    3,133.82/4,703.02 = 2,314.30/x
  3. Step 3: Cross multiply
    3,133.82x = 4,703.02 × 2,314.30
  4. Step 4: Simplify right side
    3,133.82x = 10,884,199.19
  5. Step 5: Solve for x
    x = 10,884,199.19/3,133.82
  6. Step 6: Final answer
    x = 3,473.14

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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.