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Finding the Fourth Proportional to 6,509.80, 9,758.94 and 5,880.04

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Solution

The fourth proportional to 6,509.80, 9,758.94 and 5,880.04 is: 8,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.80 : 9,758.94 = 5,880.04 : x
  2. Step 2: Convert to fraction form
    6,509.80/9,758.94 = 5,880.04/x
  3. Step 3: Cross multiply
    6,509.80x = 9,758.94 × 5,880.04
  4. Step 4: Simplify right side
    6,509.80x = 57,382,957.56
  5. Step 5: Solve for x
    x = 57,382,957.56/6,509.80
  6. Step 6: Final answer
    x = 8,814.86

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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.