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Finding the Fourth Proportional to 27,178, 40,772.85 and 8,457.64

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Solution

The fourth proportional to 27,178, 40,772.85 and 8,457.64 is: 12,688.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178 : 40,772.85 = 8,457.64 : x
  2. Step 2: Convert to fraction form
    27,178/40,772.85 = 8,457.64/x
  3. Step 3: Cross multiply
    27,178x = 40,772.85 × 8,457.64
  4. Step 4: Simplify right side
    27,178x = 344,842,087.07
  5. Step 5: Solve for x
    x = 344,842,087.07/27,178
  6. Step 6: Final answer
    x = 12,688.28

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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.