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Finding the Fourth Proportional to 4,496.72, 6,711.78 and 4,219.70

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Solution

The fourth proportional to 4,496.72, 6,711.78 and 4,219.70 is: 6,298.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,496.72 : 6,711.78 = 4,219.70 : x
  2. Step 2: Convert to fraction form
    4,496.72/6,711.78 = 4,219.70/x
  3. Step 3: Cross multiply
    4,496.72x = 6,711.78 × 4,219.70
  4. Step 4: Simplify right side
    4,496.72x = 28,321,698.07
  5. Step 5: Solve for x
    x = 28,321,698.07/4,496.72
  6. Step 6: Final answer
    x = 6,298.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.