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Finding the Fourth Proportional to 11,614, 17,421.64 and 3,717.20

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Solution

The fourth proportional to 11,614, 17,421.64 and 3,717.20 is: 5,576.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614 : 17,421.64 = 3,717.20 : x
  2. Step 2: Convert to fraction form
    11,614/17,421.64 = 3,717.20/x
  3. Step 3: Cross multiply
    11,614x = 17,421.64 × 3,717.20
  4. Step 4: Simplify right side
    11,614x = 64,759,720.21
  5. Step 5: Solve for x
    x = 64,759,720.21/11,614
  6. Step 6: Final answer
    x = 5,576.00

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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.