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Finding the Fourth Proportional to 5,492.70, 8,237.45 and 1,982.30

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Solution

The fourth proportional to 5,492.70, 8,237.45 and 1,982.30 is: 2,972.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,492.70 : 8,237.45 = 1,982.30 : x
  2. Step 2: Convert to fraction form
    5,492.70/8,237.45 = 1,982.30/x
  3. Step 3: Cross multiply
    5,492.70x = 8,237.45 × 1,982.30
  4. Step 4: Simplify right side
    5,492.70x = 16,329,097.14
  5. Step 5: Solve for x
    x = 16,329,097.14/5,492.70
  6. Step 6: Final answer
    x = 2,972.87

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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.