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Finding the Fourth Proportional to 11,380, 17,071.90 and 3,587.26

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Solution

The fourth proportional to 11,380, 17,071.90 and 3,587.26 is: 5,381.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,380 : 17,071.90 = 3,587.26 : x
  2. Step 2: Convert to fraction form
    11,380/17,071.90 = 3,587.26/x
  3. Step 3: Cross multiply
    11,380x = 17,071.90 × 3,587.26
  4. Step 4: Simplify right side
    11,380x = 61,241,343.99
  5. Step 5: Solve for x
    x = 61,241,343.99/11,380
  6. Step 6: Final answer
    x = 5,381.49

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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.