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Finding the Fourth Proportional to 11,760.63, 17,637.71 and 8,446.11

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Solution

The fourth proportional to 11,760.63, 17,637.71 and 8,446.11 is: 12,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,760.63 : 17,637.71 = 8,446.11 : x
  2. Step 2: Convert to fraction form
    11,760.63/17,637.71 = 8,446.11/x
  3. Step 3: Cross multiply
    11,760.63x = 17,637.71 × 8,446.11
  4. Step 4: Simplify right side
    11,760.63x = 148,969,996.58
  5. Step 5: Solve for x
    x = 148,969,996.58/11,760.63
  6. Step 6: Final answer
    x = 12,666.84

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.