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Finding the Fourth Proportional to 5,787, 7,986.04 and 3,134.38

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Solution

The fourth proportional to 5,787, 7,986.04 and 3,134.38 is: 4,325.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,787 : 7,986.04 = 3,134.38 : x
  2. Step 2: Convert to fraction form
    5,787/7,986.04 = 3,134.38/x
  3. Step 3: Cross multiply
    5,787x = 7,986.04 × 3,134.38
  4. Step 4: Simplify right side
    5,787x = 25,031,284.06
  5. Step 5: Solve for x
    x = 25,031,284.06/5,787
  6. Step 6: Final answer
    x = 4,325.43

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.