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Finding the Fourth Proportional to 5,214.60, 7,821.18 and 2,748.60

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Solution

The fourth proportional to 5,214.60, 7,821.18 and 2,748.60 is: 4,122.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,214.60 : 7,821.18 = 2,748.60 : x
  2. Step 2: Convert to fraction form
    5,214.60/7,821.18 = 2,748.60/x
  3. Step 3: Cross multiply
    5,214.60x = 7,821.18 × 2,748.60
  4. Step 4: Simplify right side
    5,214.60x = 21,497,295.35
  5. Step 5: Solve for x
    x = 21,497,295.35/5,214.60
  6. Step 6: Final answer
    x = 4,122.52

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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.