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Finding the Fourth Proportional to 4,797.20, 7,177.98 and 4,209.45

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Solution

The fourth proportional to 4,797.20, 7,177.98 and 4,209.45 is: 6,298.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,797.20 : 7,177.98 = 4,209.45 : x
  2. Step 2: Convert to fraction form
    4,797.20/7,177.98 = 4,209.45/x
  3. Step 3: Cross multiply
    4,797.20x = 7,177.98 × 4,209.45
  4. Step 4: Simplify right side
    4,797.20x = 30,215,347.91
  5. Step 5: Solve for x
    x = 30,215,347.91/4,797.20
  6. Step 6: Final answer
    x = 6,298.54

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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.