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Finding the Fourth Proportional to 6,467.92, 9,701.68 and 1,788.21

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Solution

The fourth proportional to 6,467.92, 9,701.68 and 1,788.21 is: 2,682.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,467.92 : 9,701.68 = 1,788.21 : x
  2. Step 2: Convert to fraction form
    6,467.92/9,701.68 = 1,788.21/x
  3. Step 3: Cross multiply
    6,467.92x = 9,701.68 × 1,788.21
  4. Step 4: Simplify right side
    6,467.92x = 17,348,636.72
  5. Step 5: Solve for x
    x = 17,348,636.72/6,467.92
  6. Step 6: Final answer
    x = 2,682.26

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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.