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Finding the Fourth Proportional to 35,412.50, 53,121.18 and 11,720

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Solution

The fourth proportional to 35,412.50, 53,121.18 and 11,720 is: 17,580.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,412.50 : 53,121.18 = 11,720 : x
  2. Step 2: Convert to fraction form
    35,412.50/53,121.18 = 11,720/x
  3. Step 3: Cross multiply
    35,412.50x = 53,121.18 × 11,720
  4. Step 4: Simplify right side
    35,412.50x = 622,580,229.60
  5. Step 5: Solve for x
    x = 622,580,229.60/35,412.50
  6. Step 6: Final answer
    x = 17,580.80

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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.