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Finding the Fourth Proportional to 12,221.64, 16,866.27 and 6,916.34

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Solution

The fourth proportional to 12,221.64, 16,866.27 and 6,916.34 is: 9,544.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.64 : 16,866.27 = 6,916.34 : x
  2. Step 2: Convert to fraction form
    12,221.64/16,866.27 = 6,916.34/x
  3. Step 3: Cross multiply
    12,221.64x = 16,866.27 × 6,916.34
  4. Step 4: Simplify right side
    12,221.64x = 116,652,900.02
  5. Step 5: Solve for x
    x = 116,652,900.02/12,221.64
  6. Step 6: Final answer
    x = 9,544.78

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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.