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Finding the Fourth Proportional to 7,176, 10,765.92 and 2,558.88

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Solution

The fourth proportional to 7,176, 10,765.92 and 2,558.88 is: 3,839.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,176 : 10,765.92 = 2,558.88 : x
  2. Step 2: Convert to fraction form
    7,176/10,765.92 = 2,558.88/x
  3. Step 3: Cross multiply
    7,176x = 10,765.92 × 2,558.88
  4. Step 4: Simplify right side
    7,176x = 27,548,697.37
  5. Step 5: Solve for x
    x = 27,548,697.37/7,176
  6. Step 6: Final answer
    x = 3,839.00

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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.