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Finding the Fourth Proportional to 5,429.92, 7,492.96 and 3,072.80

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Solution

The fourth proportional to 5,429.92, 7,492.96 and 3,072.80 is: 4,240.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,429.92 : 7,492.96 = 3,072.80 : x
  2. Step 2: Convert to fraction form
    5,429.92/7,492.96 = 3,072.80/x
  3. Step 3: Cross multiply
    5,429.92x = 7,492.96 × 3,072.80
  4. Step 4: Simplify right side
    5,429.92x = 23,024,367.49
  5. Step 5: Solve for x
    x = 23,024,367.49/5,429.92
  6. Step 6: Final answer
    x = 4,240.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.