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Finding the Fourth Proportional to 4,786.96, 7,178.16 and 2,188.24

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Solution

The fourth proportional to 4,786.96, 7,178.16 and 2,188.24 is: 3,281.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.96 : 7,178.16 = 2,188.24 : x
  2. Step 2: Convert to fraction form
    4,786.96/7,178.16 = 2,188.24/x
  3. Step 3: Cross multiply
    4,786.96x = 7,178.16 × 2,188.24
  4. Step 4: Simplify right side
    4,786.96x = 15,707,536.84
  5. Step 5: Solve for x
    x = 15,707,536.84/4,786.96
  6. Step 6: Final answer
    x = 3,281.32

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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.