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Finding the Fourth Proportional to 4,879.87, 7,312.14 and 3,772

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Solution

The fourth proportional to 4,879.87, 7,312.14 and 3,772 is: 5,652.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,879.87 : 7,312.14 = 3,772 : x
  2. Step 2: Convert to fraction form
    4,879.87/7,312.14 = 3,772/x
  3. Step 3: Cross multiply
    4,879.87x = 7,312.14 × 3,772
  4. Step 4: Simplify right side
    4,879.87x = 27,581,392.08
  5. Step 5: Solve for x
    x = 27,581,392.08/4,879.87
  6. Step 6: Final answer
    x = 5,652.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.