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Finding the Fourth Proportional to 37,455.32, 51,685.74 and 20,687

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Solution

The fourth proportional to 37,455.32, 51,685.74 and 20,687 is: 28,546.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,455.32 : 51,685.74 = 20,687 : x
  2. Step 2: Convert to fraction form
    37,455.32/51,685.74 = 20,687/x
  3. Step 3: Cross multiply
    37,455.32x = 51,685.74 × 20,687
  4. Step 4: Simplify right side
    37,455.32x = 1,069,222,903.38
  5. Step 5: Solve for x
    x = 1,069,222,903.38/37,455.32
  6. Step 6: Final answer
    x = 28,546.62

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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.