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Finding the Fourth Proportional to 4,709.36, 7,029.10 and 4,155.80

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Solution

The fourth proportional to 4,709.36, 7,029.10 and 4,155.80 is: 6,202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,709.36 : 7,029.10 = 4,155.80 : x
  2. Step 2: Convert to fraction form
    4,709.36/7,029.10 = 4,155.80/x
  3. Step 3: Cross multiply
    4,709.36x = 7,029.10 × 4,155.80
  4. Step 4: Simplify right side
    4,709.36x = 29,211,533.78
  5. Step 5: Solve for x
    x = 29,211,533.78/4,709.36
  6. Step 6: Final answer
    x = 6,202.87

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