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Finding the Fourth Proportional to 5,160, 7,727.58 and 3,305.37

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Solution

The fourth proportional to 5,160, 7,727.58 and 3,305.37 is: 4,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,160 : 7,727.58 = 3,305.37 : x
  2. Step 2: Convert to fraction form
    5,160/7,727.58 = 3,305.37/x
  3. Step 3: Cross multiply
    5,160x = 7,727.58 × 3,305.37
  4. Step 4: Simplify right side
    5,160x = 25,542,511.10
  5. Step 5: Solve for x
    x = 25,542,511.10/5,160
  6. Step 6: Final answer
    x = 4,950.10

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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.