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Finding the Fourth Proportional to 12,221.81, 16,866.10 and 6,916.52

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Solution

The fourth proportional to 12,221.81, 16,866.10 and 6,916.52 is: 9,544.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.81 : 16,866.10 = 6,916.52 : x
  2. Step 2: Convert to fraction form
    12,221.81/16,866.10 = 6,916.52/x
  3. Step 3: Cross multiply
    12,221.81x = 16,866.10 × 6,916.52
  4. Step 4: Simplify right side
    12,221.81x = 116,654,717.97
  5. Step 5: Solve for x
    x = 116,654,717.97/12,221.81
  6. Step 6: Final answer
    x = 9,544.80

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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.