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Finding the Fourth Proportional to 5,214.45, 7,819.11 and 1,703.80

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Solution

The fourth proportional to 5,214.45, 7,819.11 and 1,703.80 is: 2,554.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.45 : 7,819.11 = 1,703.80 : x
  2. Step 2: Convert to fraction form
    5,214.45/7,819.11 = 1,703.80/x
  3. Step 3: Cross multiply
    5,214.45x = 7,819.11 × 1,703.80
  4. Step 4: Simplify right side
    5,214.45x = 13,322,152.00
  5. Step 5: Solve for x
    x = 13,322,152.00/5,214.45
  6. Step 6: Final answer
    x = 2,554.86

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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.