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Finding the Fourth Proportional to 6,293.51, 9,440.29 and 1,911

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Solution

The fourth proportional to 6,293.51, 9,440.29 and 1,911 is: 2,866.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.51 : 9,440.29 = 1,911 : x
  2. Step 2: Convert to fraction form
    6,293.51/9,440.29 = 1,911/x
  3. Step 3: Cross multiply
    6,293.51x = 9,440.29 × 1,911
  4. Step 4: Simplify right side
    6,293.51x = 18,040,394.19
  5. Step 5: Solve for x
    x = 18,040,394.19/6,293.51
  6. Step 6: Final answer
    x = 2,866.51

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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.