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Finding the Fourth Proportional to 37,730, 52,062.12 and 21,808.64

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Solution

The fourth proportional to 37,730, 52,062.12 and 21,808.64 is: 30,092.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,730 : 52,062.12 = 21,808.64 : x
  2. Step 2: Convert to fraction form
    37,730/52,062.12 = 21,808.64/x
  3. Step 3: Cross multiply
    37,730x = 52,062.12 × 21,808.64
  4. Step 4: Simplify right side
    37,730x = 1,135,404,032.72
  5. Step 5: Solve for x
    x = 1,135,404,032.72/37,730
  6. Step 6: Final answer
    x = 30,092.87

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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.