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Finding the Fourth Proportional to 7,776.96, 11,658.24 and 2,581.92

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Solution

The fourth proportional to 7,776.96, 11,658.24 and 2,581.92 is: 3,870.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,776.96 : 11,658.24 = 2,581.92 : x
  2. Step 2: Convert to fraction form
    7,776.96/11,658.24 = 2,581.92/x
  3. Step 3: Cross multiply
    7,776.96x = 11,658.24 × 2,581.92
  4. Step 4: Simplify right side
    7,776.96x = 30,100,643.02
  5. Step 5: Solve for x
    x = 30,100,643.02/7,776.96
  6. Step 6: Final answer
    x = 3,870.49

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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.