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Finding the Fourth Proportional to 5,680.68, 8,518.68 and 1,982.16

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Solution

The fourth proportional to 5,680.68, 8,518.68 and 1,982.16 is: 2,972.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,680.68 : 8,518.68 = 1,982.16 : x
  2. Step 2: Convert to fraction form
    5,680.68/8,518.68 = 1,982.16/x
  3. Step 3: Cross multiply
    5,680.68x = 8,518.68 × 1,982.16
  4. Step 4: Simplify right side
    5,680.68x = 16,885,386.75
  5. Step 5: Solve for x
    x = 16,885,386.75/5,680.68
  6. Step 6: Final answer
    x = 2,972.42

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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.