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Finding the Fourth Proportional to 27,156, 40,697.01 and 13,980.54

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Solution

The fourth proportional to 27,156, 40,697.01 and 13,980.54 is: 20,951.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,156 : 40,697.01 = 13,980.54 : x
  2. Step 2: Convert to fraction form
    27,156/40,697.01 = 13,980.54/x
  3. Step 3: Cross multiply
    27,156x = 40,697.01 × 13,980.54
  4. Step 4: Simplify right side
    27,156x = 568,966,176.19
  5. Step 5: Solve for x
    x = 568,966,176.19/27,156
  6. Step 6: Final answer
    x = 20,951.77

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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.