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Finding the Fourth Proportional to 27,784.80, 41,677.20 and 10,267.20

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Solution

The fourth proportional to 27,784.80, 41,677.20 and 10,267.20 is: 15,400.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,784.80 : 41,677.20 = 10,267.20 : x
  2. Step 2: Convert to fraction form
    27,784.80/41,677.20 = 10,267.20/x
  3. Step 3: Cross multiply
    27,784.80x = 41,677.20 × 10,267.20
  4. Step 4: Simplify right side
    27,784.80x = 427,908,147.84
  5. Step 5: Solve for x
    x = 427,908,147.84/27,784.80
  6. Step 6: Final answer
    x = 15,400.80

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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.