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Finding the Fourth Proportional to 10,771.80, 14,865.24 and 8,078.28

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Solution

The fourth proportional to 10,771.80, 14,865.24 and 8,078.28 is: 11,148.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,771.80 : 14,865.24 = 8,078.28 : x
  2. Step 2: Convert to fraction form
    10,771.80/14,865.24 = 8,078.28/x
  3. Step 3: Cross multiply
    10,771.80x = 14,865.24 × 8,078.28
  4. Step 4: Simplify right side
    10,771.80x = 120,085,570.99
  5. Step 5: Solve for x
    x = 120,085,570.99/10,771.80
  6. Step 6: Final answer
    x = 11,148.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.