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Finding the Fourth Proportional to 5,647.76, 8,469.60 and 1,948.88

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Solution

The fourth proportional to 5,647.76, 8,469.60 and 1,948.88 is: 2,922.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,647.76 : 8,469.60 = 1,948.88 : x
  2. Step 2: Convert to fraction form
    5,647.76/8,469.60 = 1,948.88/x
  3. Step 3: Cross multiply
    5,647.76x = 8,469.60 × 1,948.88
  4. Step 4: Simplify right side
    5,647.76x = 16,506,234.05
  5. Step 5: Solve for x
    x = 16,506,234.05/5,647.76
  6. Step 6: Final answer
    x = 2,922.62

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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.