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Finding the Fourth Proportional to 5,214.92, 7,821.57 and 1,704.90

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Solution

The fourth proportional to 5,214.92, 7,821.57 and 1,704.90 is: 2,557.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.92 : 7,821.57 = 1,704.90 : x
  2. Step 2: Convert to fraction form
    5,214.92/7,821.57 = 1,704.90/x
  3. Step 3: Cross multiply
    5,214.92x = 7,821.57 × 1,704.90
  4. Step 4: Simplify right side
    5,214.92x = 13,334,994.69
  5. Step 5: Solve for x
    x = 13,334,994.69/5,214.92
  6. Step 6: Final answer
    x = 2,557.09

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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.