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Finding the Fourth Proportional to 27,380.25, 37,807.74 and 18,457.29

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Solution

The fourth proportional to 27,380.25, 37,807.74 and 18,457.29 is: 25,486.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,380.25 : 37,807.74 = 18,457.29 : x
  2. Step 2: Convert to fraction form
    27,380.25/37,807.74 = 18,457.29/x
  3. Step 3: Cross multiply
    27,380.25x = 37,807.74 × 18,457.29
  4. Step 4: Simplify right side
    27,380.25x = 697,828,421.42
  5. Step 5: Solve for x
    x = 697,828,421.42/27,380.25
  6. Step 6: Final answer
    x = 25,486.56

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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.