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Finding the Fourth Proportional to 8,422.49, 11,622.49 and 4,645.68

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Solution

The fourth proportional to 8,422.49, 11,622.49 and 4,645.68 is: 6,410.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.49 : 11,622.49 = 4,645.68 : x
  2. Step 2: Convert to fraction form
    8,422.49/11,622.49 = 4,645.68/x
  3. Step 3: Cross multiply
    8,422.49x = 11,622.49 × 4,645.68
  4. Step 4: Simplify right side
    8,422.49x = 53,994,369.34
  5. Step 5: Solve for x
    x = 53,994,369.34/8,422.49
  6. Step 6: Final answer
    x = 6,410.74

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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.