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Finding the Fourth Proportional to 12,221.70, 16,865.87 and 6,916.41

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Solution

The fourth proportional to 12,221.70, 16,865.87 and 6,916.41 is: 9,544.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.70 : 16,865.87 = 6,916.41 : x
  2. Step 2: Convert to fraction form
    12,221.70/16,865.87 = 6,916.41/x
  3. Step 3: Cross multiply
    12,221.70x = 16,865.87 × 6,916.41
  4. Step 4: Simplify right side
    12,221.70x = 116,651,237.34
  5. Step 5: Solve for x
    x = 116,651,237.34/12,221.70
  6. Step 6: Final answer
    x = 9,544.60

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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.