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Finding the Fourth Proportional to 7,406.50, 11,109.78 and 1,934.50

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Solution

The fourth proportional to 7,406.50, 11,109.78 and 1,934.50 is: 2,901.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,406.50 : 11,109.78 = 1,934.50 : x
  2. Step 2: Convert to fraction form
    7,406.50/11,109.78 = 1,934.50/x
  3. Step 3: Cross multiply
    7,406.50x = 11,109.78 × 1,934.50
  4. Step 4: Simplify right side
    7,406.50x = 21,491,869.41
  5. Step 5: Solve for x
    x = 21,491,869.41/7,406.50
  6. Step 6: Final answer
    x = 2,901.76

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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.