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Finding the Fourth Proportional to 5,493.76, 7,582.76 and 3,396.64

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Solution

The fourth proportional to 5,493.76, 7,582.76 and 3,396.64 is: 4,688.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,493.76 : 7,582.76 = 3,396.64 : x
  2. Step 2: Convert to fraction form
    5,493.76/7,582.76 = 3,396.64/x
  3. Step 3: Cross multiply
    5,493.76x = 7,582.76 × 3,396.64
  4. Step 4: Simplify right side
    5,493.76x = 25,755,905.93
  5. Step 5: Solve for x
    x = 25,755,905.93/5,493.76
  6. Step 6: Final answer
    x = 4,688.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.