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Finding the Fourth Proportional to 11,666.16, 16,090.20 and 7,474.80

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Solution

The fourth proportional to 11,666.16, 16,090.20 and 7,474.80 is: 10,309.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,666.16 : 16,090.20 = 7,474.80 : x
  2. Step 2: Convert to fraction form
    11,666.16/16,090.20 = 7,474.80/x
  3. Step 3: Cross multiply
    11,666.16x = 16,090.20 × 7,474.80
  4. Step 4: Simplify right side
    11,666.16x = 120,271,026.96
  5. Step 5: Solve for x
    x = 120,271,026.96/11,666.16
  6. Step 6: Final answer
    x = 10,309.39

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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.