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Finding the Fourth Proportional to 4,640.72, 6,405 and 2,778.80

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Solution

The fourth proportional to 4,640.72, 6,405 and 2,778.80 is: 3,835.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.72 : 6,405 = 2,778.80 : x
  2. Step 2: Convert to fraction form
    4,640.72/6,405 = 2,778.80/x
  3. Step 3: Cross multiply
    4,640.72x = 6,405 × 2,778.80
  4. Step 4: Simplify right side
    4,640.72x = 17,798,214
  5. Step 5: Solve for x
    x = 17,798,214/4,640.72
  6. Step 6: Final answer
    x = 3,835.23

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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.