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Finding the Fourth Proportional to 8,684.14, 13,021.18 and 7,646.22

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Solution

The fourth proportional to 8,684.14, 13,021.18 and 7,646.22 is: 11,464.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,684.14 : 13,021.18 = 7,646.22 : x
  2. Step 2: Convert to fraction form
    8,684.14/13,021.18 = 7,646.22/x
  3. Step 3: Cross multiply
    8,684.14x = 13,021.18 × 7,646.22
  4. Step 4: Simplify right side
    8,684.14x = 99,562,806.94
  5. Step 5: Solve for x
    x = 99,562,806.94/8,684.14
  6. Step 6: Final answer
    x = 11,464.90

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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.