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Finding the Fourth Proportional to 37,895, 52,295.10 and 21,128

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Solution

The fourth proportional to 37,895, 52,295.10 and 21,128 is: 29,156.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,895 : 52,295.10 = 21,128 : x
  2. Step 2: Convert to fraction form
    37,895/52,295.10 = 21,128/x
  3. Step 3: Cross multiply
    37,895x = 52,295.10 × 21,128
  4. Step 4: Simplify right side
    37,895x = 1,104,890,872.80
  5. Step 5: Solve for x
    x = 1,104,890,872.80/37,895
  6. Step 6: Final answer
    x = 29,156.64

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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.