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Finding the Fourth Proportional to 11,666.50, 16,094.22 and 7,890.99

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Solution

The fourth proportional to 11,666.50, 16,094.22 and 7,890.99 is: 10,885.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.50 : 16,094.22 = 7,890.99 : x
  2. Step 2: Convert to fraction form
    11,666.50/16,094.22 = 7,890.99/x
  3. Step 3: Cross multiply
    11,666.50x = 16,094.22 × 7,890.99
  4. Step 4: Simplify right side
    11,666.50x = 126,999,329.08
  5. Step 5: Solve for x
    x = 126,999,329.08/11,666.50
  6. Step 6: Final answer
    x = 10,885.81

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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.