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Finding the Fourth Proportional to 11,439.01, 17,154.87 and 3,646

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Solution

The fourth proportional to 11,439.01, 17,154.87 and 3,646 is: 5,467.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,439.01 : 17,154.87 = 3,646 : x
  2. Step 2: Convert to fraction form
    11,439.01/17,154.87 = 3,646/x
  3. Step 3: Cross multiply
    11,439.01x = 17,154.87 × 3,646
  4. Step 4: Simplify right side
    11,439.01x = 62,546,656.02
  5. Step 5: Solve for x
    x = 62,546,656.02/11,439.01
  6. Step 6: Final answer
    x = 5,467.84

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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.