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Finding the Fourth Proportional to 11,646.68, 16,072.10 and 6,611.38

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Solution

The fourth proportional to 11,646.68, 16,072.10 and 6,611.38 is: 9,123.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,646.68 : 16,072.10 = 6,611.38 : x
  2. Step 2: Convert to fraction form
    11,646.68/16,072.10 = 6,611.38/x
  3. Step 3: Cross multiply
    11,646.68x = 16,072.10 × 6,611.38
  4. Step 4: Simplify right side
    11,646.68x = 106,258,760.50
  5. Step 5: Solve for x
    x = 106,258,760.50/11,646.68
  6. Step 6: Final answer
    x = 9,123.52

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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.