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Finding the Fourth Proportional to 6,291, 9,437.85 and 2,131.11

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Solution

The fourth proportional to 6,291, 9,437.85 and 2,131.11 is: 3,197.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,291 : 9,437.85 = 2,131.11 : x
  2. Step 2: Convert to fraction form
    6,291/9,437.85 = 2,131.11/x
  3. Step 3: Cross multiply
    6,291x = 9,437.85 × 2,131.11
  4. Step 4: Simplify right side
    6,291x = 20,113,096.51
  5. Step 5: Solve for x
    x = 20,113,096.51/6,291
  6. Step 6: Final answer
    x = 3,197.12

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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.