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Finding the Fourth Proportional to 11,655.85, 16,090.92 and 7,411.18

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Solution

The fourth proportional to 11,655.85, 16,090.92 and 7,411.18 is: 10,231.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,655.85 : 16,090.92 = 7,411.18 : x
  2. Step 2: Convert to fraction form
    11,655.85/16,090.92 = 7,411.18/x
  3. Step 3: Cross multiply
    11,655.85x = 16,090.92 × 7,411.18
  4. Step 4: Simplify right side
    11,655.85x = 119,252,704.49
  5. Step 5: Solve for x
    x = 119,252,704.49/11,655.85
  6. Step 6: Final answer
    x = 10,231.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.