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Finding the Fourth Proportional to 37,857, 52,244.46 and 21,090

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Solution

The fourth proportional to 37,857, 52,244.46 and 21,090 is: 29,105.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,857 : 52,244.46 = 21,090 : x
  2. Step 2: Convert to fraction form
    37,857/52,244.46 = 21,090/x
  3. Step 3: Cross multiply
    37,857x = 52,244.46 × 21,090
  4. Step 4: Simplify right side
    37,857x = 1,101,835,661.40
  5. Step 5: Solve for x
    x = 1,101,835,661.40/37,857
  6. Step 6: Final answer
    x = 29,105.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.