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Finding the Fourth Proportional to 37,272, 51,435.84 and 20,505.36

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Solution

The fourth proportional to 37,272, 51,435.84 and 20,505.36 is: 28,297.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,272 : 51,435.84 = 20,505.36 : x
  2. Step 2: Convert to fraction form
    37,272/51,435.84 = 20,505.36/x
  3. Step 3: Cross multiply
    37,272x = 51,435.84 × 20,505.36
  4. Step 4: Simplify right side
    37,272x = 1,054,710,416.10
  5. Step 5: Solve for x
    x = 1,054,710,416.10/37,272
  6. Step 6: Final answer
    x = 28,297.66

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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.