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Finding the Fourth Proportional to 7,156.24, 10,728.24 and 2,776.84

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Solution

The fourth proportional to 7,156.24, 10,728.24 and 2,776.84 is: 4,162.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,156.24 : 10,728.24 = 2,776.84 : x
  2. Step 2: Convert to fraction form
    7,156.24/10,728.24 = 2,776.84/x
  3. Step 3: Cross multiply
    7,156.24x = 10,728.24 × 2,776.84
  4. Step 4: Simplify right side
    7,156.24x = 29,790,605.96
  5. Step 5: Solve for x
    x = 29,790,605.96/7,156.24
  6. Step 6: Final answer
    x = 4,162.89

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1.5x scale

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.