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Finding the Fourth Proportional to 30,913.50, 42,629.58 and 27,499.90

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Solution

The fourth proportional to 30,913.50, 42,629.58 and 27,499.90 is: 37,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,913.50 : 42,629.58 = 27,499.90 : x
  2. Step 2: Convert to fraction form
    30,913.50/42,629.58 = 27,499.90/x
  3. Step 3: Cross multiply
    30,913.50x = 42,629.58 × 27,499.90
  4. Step 4: Simplify right side
    30,913.50x = 1,172,309,187.04
  5. Step 5: Solve for x
    x = 1,172,309,187.04/30,913.50
  6. Step 6: Final answer
    x = 37,922.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.