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Finding the Fourth Proportional to 4,938.61, 7,410.90 and 2,165.44

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Solution

The fourth proportional to 4,938.61, 7,410.90 and 2,165.44 is: 3,249.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,938.61 : 7,410.90 = 2,165.44 : x
  2. Step 2: Convert to fraction form
    4,938.61/7,410.90 = 2,165.44/x
  3. Step 3: Cross multiply
    4,938.61x = 7,410.90 × 2,165.44
  4. Step 4: Simplify right side
    4,938.61x = 16,047,859.30
  5. Step 5: Solve for x
    x = 16,047,859.30/4,938.61
  6. Step 6: Final answer
    x = 3,249.47

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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.