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Finding the Fourth Proportional to 27,178.68, 40,760.19 and 7,457.88

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Solution

The fourth proportional to 27,178.68, 40,760.19 and 7,457.88 is: 11,184.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.68 : 40,760.19 = 7,457.88 : x
  2. Step 2: Convert to fraction form
    27,178.68/40,760.19 = 7,457.88/x
  3. Step 3: Cross multiply
    27,178.68x = 40,760.19 × 7,457.88
  4. Step 4: Simplify right side
    27,178.68x = 303,984,605.80
  5. Step 5: Solve for x
    x = 303,984,605.80/27,178.68
  6. Step 6: Final answer
    x = 11,184.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.