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Finding the Fourth Proportional to 4,784.78, 6,609.12 and 3,658.88

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Solution

The fourth proportional to 4,784.78, 6,609.12 and 3,658.88 is: 5,053.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,784.78 : 6,609.12 = 3,658.88 : x
  2. Step 2: Convert to fraction form
    4,784.78/6,609.12 = 3,658.88/x
  3. Step 3: Cross multiply
    4,784.78x = 6,609.12 × 3,658.88
  4. Step 4: Simplify right side
    4,784.78x = 24,181,976.99
  5. Step 5: Solve for x
    x = 24,181,976.99/4,784.78
  6. Step 6: Final answer
    x = 5,053.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.