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Finding the Fourth Proportional to 27,243, 40,864.50 and 10,827

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Solution

The fourth proportional to 27,243, 40,864.50 and 10,827 is: 16,240.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,243 : 40,864.50 = 10,827 : x
  2. Step 2: Convert to fraction form
    27,243/40,864.50 = 10,827/x
  3. Step 3: Cross multiply
    27,243x = 40,864.50 × 10,827
  4. Step 4: Simplify right side
    27,243x = 442,439,941.50
  5. Step 5: Solve for x
    x = 442,439,941.50/27,243
  6. Step 6: Final answer
    x = 16,240.50

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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.