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Finding the Fourth Proportional to 27,318.66, 40,978.05 and 7,597.21

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Solution

The fourth proportional to 27,318.66, 40,978.05 and 7,597.21 is: 11,395.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,318.66 : 40,978.05 = 7,597.21 : x
  2. Step 2: Convert to fraction form
    27,318.66/40,978.05 = 7,597.21/x
  3. Step 3: Cross multiply
    27,318.66x = 40,978.05 × 7,597.21
  4. Step 4: Simplify right side
    27,318.66x = 311,318,851.24
  5. Step 5: Solve for x
    x = 311,318,851.24/27,318.66
  6. Step 6: Final answer
    x = 11,395.83

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Why These Related Problems?

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