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Finding the Fourth Proportional to 35,817.65, 49,415.72 and 20,493

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Solution

The fourth proportional to 35,817.65, 49,415.72 and 20,493 is: 28,273.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,817.65 : 49,415.72 = 20,493 : x
  2. Step 2: Convert to fraction form
    35,817.65/49,415.72 = 20,493/x
  3. Step 3: Cross multiply
    35,817.65x = 49,415.72 × 20,493
  4. Step 4: Simplify right side
    35,817.65x = 1,012,676,349.96
  5. Step 5: Solve for x
    x = 1,012,676,349.96/35,817.65
  6. Step 6: Final answer
    x = 28,273.11

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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.