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Finding the Fourth Proportional to 4,134.40, 6,206.40 and 2,492.80

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Solution

The fourth proportional to 4,134.40, 6,206.40 and 2,492.80 is: 3,742.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,134.40 : 6,206.40 = 2,492.80 : x
  2. Step 2: Convert to fraction form
    4,134.40/6,206.40 = 2,492.80/x
  3. Step 3: Cross multiply
    4,134.40x = 6,206.40 × 2,492.80
  4. Step 4: Simplify right side
    4,134.40x = 15,471,313.92
  5. Step 5: Solve for x
    x = 15,471,313.92/4,134.40
  6. Step 6: Final answer
    x = 3,742.09

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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.