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Finding the Fourth Proportional to 27,256, 40,884 and 7,800

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Solution

The fourth proportional to 27,256, 40,884 and 7,800 is: 11,700

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,256 : 40,884 = 7,800 : x
  2. Step 2: Convert to fraction form
    27,256/40,884 = 7,800/x
  3. Step 3: Cross multiply
    27,256x = 40,884 × 7,800
  4. Step 4: Simplify right side
    27,256x = 318,895,200
  5. Step 5: Solve for x
    x = 318,895,200/27,256
  6. Step 6: Final answer
    x = 11,700

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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.