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Finding the Fourth Proportional to 11,745, 16,207.05 and 6,709.22

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Solution

The fourth proportional to 11,745, 16,207.05 and 6,709.22 is: 9,258.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,745 : 16,207.05 = 6,709.22 : x
  2. Step 2: Convert to fraction form
    11,745/16,207.05 = 6,709.22/x
  3. Step 3: Cross multiply
    11,745x = 16,207.05 × 6,709.22
  4. Step 4: Simplify right side
    11,745x = 108,736,582.97
  5. Step 5: Solve for x
    x = 108,736,582.97/11,745
  6. Step 6: Final answer
    x = 9,258.12

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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.