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Finding the Fourth Proportional to 11,742, 16,203.96 and 6,776.88

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Solution

The fourth proportional to 11,742, 16,203.96 and 6,776.88 is: 9,352.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,742 : 16,203.96 = 6,776.88 : x
  2. Step 2: Convert to fraction form
    11,742/16,203.96 = 6,776.88/x
  3. Step 3: Cross multiply
    11,742x = 16,203.96 × 6,776.88
  4. Step 4: Simplify right side
    11,742x = 109,812,292.44
  5. Step 5: Solve for x
    x = 109,812,292.44/11,742
  6. Step 6: Final answer
    x = 9,352.09

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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.