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Finding the Fourth Proportional to 7,646.94, 11,460.69 and 3,489.21

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Solution

The fourth proportional to 7,646.94, 11,460.69 and 3,489.21 is: 5,229.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,646.94 : 11,460.69 = 3,489.21 : x
  2. Step 2: Convert to fraction form
    7,646.94/11,460.69 = 3,489.21/x
  3. Step 3: Cross multiply
    7,646.94x = 11,460.69 × 3,489.21
  4. Step 4: Simplify right side
    7,646.94x = 39,988,754.15
  5. Step 5: Solve for x
    x = 39,988,754.15/7,646.94
  6. Step 6: Final answer
    x = 5,229.38

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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.