Home / 5,431-8,146.50-1,968.25

Finding the Fourth Proportional to 5,431, 8,146.50 and 1,968.25

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Solution

The fourth proportional to 5,431, 8,146.50 and 1,968.25 is: 2,952.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,431 : 8,146.50 = 1,968.25 : x
  2. Step 2: Convert to fraction form
    5,431/8,146.50 = 1,968.25/x
  3. Step 3: Cross multiply
    5,431x = 8,146.50 × 1,968.25
  4. Step 4: Simplify right side
    5,431x = 16,034,348.63
  5. Step 5: Solve for x
    x = 16,034,348.63/5,431
  6. Step 6: Final answer
    x = 2,952.38

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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.