Home / 7,284.26-10,926.80-2,090

Finding the Fourth Proportional to 7,284.26, 10,926.80 and 2,090

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Solution

The fourth proportional to 7,284.26, 10,926.80 and 2,090 is: 3,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,284.26 : 10,926.80 = 2,090 : x
  2. Step 2: Convert to fraction form
    7,284.26/10,926.80 = 2,090/x
  3. Step 3: Cross multiply
    7,284.26x = 10,926.80 × 2,090
  4. Step 4: Simplify right side
    7,284.26x = 22,837,012
  5. Step 5: Solve for x
    x = 22,837,012/7,284.26
  6. Step 6: Final answer
    x = 3,135.12

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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.