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Finding the Fourth Proportional to 11,615.32, 17,423 and 6,681.88

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Solution

The fourth proportional to 11,615.32, 17,423 and 6,681.88 is: 10,022.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,615.32 : 17,423 = 6,681.88 : x
  2. Step 2: Convert to fraction form
    11,615.32/17,423 = 6,681.88/x
  3. Step 3: Cross multiply
    11,615.32x = 17,423 × 6,681.88
  4. Step 4: Simplify right side
    11,615.32x = 116,418,395.24
  5. Step 5: Solve for x
    x = 116,418,395.24/11,615.32
  6. Step 6: Final answer
    x = 10,022.83

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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.