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Finding the Fourth Proportional to 4,784.24, 7,167.56 and 3,049.20

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Solution

The fourth proportional to 4,784.24, 7,167.56 and 3,049.20 is: 4,568.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.24 : 7,167.56 = 3,049.20 : x
  2. Step 2: Convert to fraction form
    4,784.24/7,167.56 = 3,049.20/x
  3. Step 3: Cross multiply
    4,784.24x = 7,167.56 × 3,049.20
  4. Step 4: Simplify right side
    4,784.24x = 21,855,323.95
  5. Step 5: Solve for x
    x = 21,855,323.95/4,784.24
  6. Step 6: Final answer
    x = 4,568.19

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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.