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Finding the Fourth Proportional to 6,684.45, 9,225 and 3,889.95

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Solution

The fourth proportional to 6,684.45, 9,225 and 3,889.95 is: 5,368.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.45 : 9,225 = 3,889.95 : x
  2. Step 2: Convert to fraction form
    6,684.45/9,225 = 3,889.95/x
  3. Step 3: Cross multiply
    6,684.45x = 9,225 × 3,889.95
  4. Step 4: Simplify right side
    6,684.45x = 35,884,788.75
  5. Step 5: Solve for x
    x = 35,884,788.75/6,684.45
  6. Step 6: Final answer
    x = 5,368.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.