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Finding the Fourth Proportional to 6,897.69, 10,346.93 and 1,966.95

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Solution

The fourth proportional to 6,897.69, 10,346.93 and 1,966.95 is: 2,950.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,897.69 : 10,346.93 = 1,966.95 : x
  2. Step 2: Convert to fraction form
    6,897.69/10,346.93 = 1,966.95/x
  3. Step 3: Cross multiply
    6,897.69x = 10,346.93 × 1,966.95
  4. Step 4: Simplify right side
    6,897.69x = 20,351,891.50
  5. Step 5: Solve for x
    x = 20,351,891.50/6,897.69
  6. Step 6: Final answer
    x = 2,950.54

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1.5x scale

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.