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Finding the Fourth Proportional to 5,165.76, 7,748.64 and 3,633.60

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Solution

The fourth proportional to 5,165.76, 7,748.64 and 3,633.60 is: 5,450.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,165.76 : 7,748.64 = 3,633.60 : x
  2. Step 2: Convert to fraction form
    5,165.76/7,748.64 = 3,633.60/x
  3. Step 3: Cross multiply
    5,165.76x = 7,748.64 × 3,633.60
  4. Step 4: Simplify right side
    5,165.76x = 28,155,458.30
  5. Step 5: Solve for x
    x = 28,155,458.30/5,165.76
  6. Step 6: Final answer
    x = 5,450.40

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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.