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Finding the Fourth Proportional to 12,298.09, 16,971.39 and 6,709.09

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Solution

The fourth proportional to 12,298.09, 16,971.39 and 6,709.09 is: 9,258.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,298.09 : 16,971.39 = 6,709.09 : x
  2. Step 2: Convert to fraction form
    12,298.09/16,971.39 = 6,709.09/x
  3. Step 3: Cross multiply
    12,298.09x = 16,971.39 × 6,709.09
  4. Step 4: Simplify right side
    12,298.09x = 113,862,582.94
  5. Step 5: Solve for x
    x = 113,862,582.94/12,298.09
  6. Step 6: Final answer
    x = 9,258.56

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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.