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Finding the Fourth Proportional to 4,942.08, 7,421.76 and 3,638.88

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Solution

The fourth proportional to 4,942.08, 7,421.76 and 3,638.88 is: 5,464.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,942.08 : 7,421.76 = 3,638.88 : x
  2. Step 2: Convert to fraction form
    4,942.08/7,421.76 = 3,638.88/x
  3. Step 3: Cross multiply
    4,942.08x = 7,421.76 × 3,638.88
  4. Step 4: Simplify right side
    4,942.08x = 27,006,894.03
  5. Step 5: Solve for x
    x = 27,006,894.03/4,942.08
  6. Step 6: Final answer
    x = 5,464.68

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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.