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Finding the Fourth Proportional to 7,911, 11,866.50 and 3,294

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Solution

The fourth proportional to 7,911, 11,866.50 and 3,294 is: 4,941

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,911 : 11,866.50 = 3,294 : x
  2. Step 2: Convert to fraction form
    7,911/11,866.50 = 3,294/x
  3. Step 3: Cross multiply
    7,911x = 11,866.50 × 3,294
  4. Step 4: Simplify right side
    7,911x = 39,088,251
  5. Step 5: Solve for x
    x = 39,088,251/7,911
  6. Step 6: Final answer
    x = 4,941

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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.