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Finding the Fourth Proportional to 11,905.64, 17,861.03 and 3,585.01

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Solution

The fourth proportional to 11,905.64, 17,861.03 and 3,585.01 is: 5,378.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,905.64 : 17,861.03 = 3,585.01 : x
  2. Step 2: Convert to fraction form
    11,905.64/17,861.03 = 3,585.01/x
  3. Step 3: Cross multiply
    11,905.64x = 17,861.03 × 3,585.01
  4. Step 4: Simplify right side
    11,905.64x = 64,031,971.16
  5. Step 5: Solve for x
    x = 64,031,971.16/11,905.64
  6. Step 6: Final answer
    x = 5,378.29

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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.