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Finding the Fourth Proportional to 4,723.60, 7,120.78 and 4,406.44

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Solution

The fourth proportional to 4,723.60, 7,120.78 and 4,406.44 is: 6,642.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,723.60 : 7,120.78 = 4,406.44 : x
  2. Step 2: Convert to fraction form
    4,723.60/7,120.78 = 4,406.44/x
  3. Step 3: Cross multiply
    4,723.60x = 7,120.78 × 4,406.44
  4. Step 4: Simplify right side
    4,723.60x = 31,377,289.82
  5. Step 5: Solve for x
    x = 31,377,289.82/4,723.60
  6. Step 6: Final answer
    x = 6,642.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.