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Finding the Fourth Proportional to 11,683.40, 17,504 and 6,412.72

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Solution

The fourth proportional to 11,683.40, 17,504 and 6,412.72 is: 9,607.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,683.40 : 17,504 = 6,412.72 : x
  2. Step 2: Convert to fraction form
    11,683.40/17,504 = 6,412.72/x
  3. Step 3: Cross multiply
    11,683.40x = 17,504 × 6,412.72
  4. Step 4: Simplify right side
    11,683.40x = 112,248,250.88
  5. Step 5: Solve for x
    x = 112,248,250.88/11,683.40
  6. Step 6: Final answer
    x = 9,607.50

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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.