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Finding the Fourth Proportional to 7,129.60, 9,835.74 and 4,472.80

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Solution

The fourth proportional to 7,129.60, 9,835.74 and 4,472.80 is: 6,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.60 : 9,835.74 = 4,472.80 : x
  2. Step 2: Convert to fraction form
    7,129.60/9,835.74 = 4,472.80/x
  3. Step 3: Cross multiply
    7,129.60x = 9,835.74 × 4,472.80
  4. Step 4: Simplify right side
    7,129.60x = 43,993,297.87
  5. Step 5: Solve for x
    x = 43,993,297.87/7,129.60
  6. Step 6: Final answer
    x = 6,170.51

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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.