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Finding the Fourth Proportional to 11,801.74, 17,673.42 and 7,405.90

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Solution

The fourth proportional to 11,801.74, 17,673.42 and 7,405.90 is: 11,090.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,801.74 : 17,673.42 = 7,405.90 : x
  2. Step 2: Convert to fraction form
    11,801.74/17,673.42 = 7,405.90/x
  3. Step 3: Cross multiply
    11,801.74x = 17,673.42 × 7,405.90
  4. Step 4: Simplify right side
    11,801.74x = 130,887,581.18
  5. Step 5: Solve for x
    x = 130,887,581.18/11,801.74
  6. Step 6: Final answer
    x = 11,090.53

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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.