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Finding the Fourth Proportional to 35,287, 48,695.52 and 20,181.08

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Solution

The fourth proportional to 35,287, 48,695.52 and 20,181.08 is: 27,849.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,287 : 48,695.52 = 20,181.08 : x
  2. Step 2: Convert to fraction form
    35,287/48,695.52 = 20,181.08/x
  3. Step 3: Cross multiply
    35,287x = 48,695.52 × 20,181.08
  4. Step 4: Simplify right side
    35,287x = 982,728,184.76
  5. Step 5: Solve for x
    x = 982,728,184.76/35,287
  6. Step 6: Final answer
    x = 27,849.58

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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.