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Finding the Fourth Proportional to 12,289.86, 16,958.16 and 11,869.47

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Solution

The fourth proportional to 12,289.86, 16,958.16 and 11,869.47 is: 16,378.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.86 : 16,958.16 = 11,869.47 : x
  2. Step 2: Convert to fraction form
    12,289.86/16,958.16 = 11,869.47/x
  3. Step 3: Cross multiply
    12,289.86x = 16,958.16 × 11,869.47
  4. Step 4: Simplify right side
    12,289.86x = 201,284,371.38
  5. Step 5: Solve for x
    x = 201,284,371.38/12,289.86
  6. Step 6: Final answer
    x = 16,378.08

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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.