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Finding the Fourth Proportional to 7,800, 11,700.48 and 4,506.24

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Solution

The fourth proportional to 7,800, 11,700.48 and 4,506.24 is: 6,759.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,800 : 11,700.48 = 4,506.24 : x
  2. Step 2: Convert to fraction form
    7,800/11,700.48 = 4,506.24/x
  3. Step 3: Cross multiply
    7,800x = 11,700.48 × 4,506.24
  4. Step 4: Simplify right side
    7,800x = 52,725,171.00
  5. Step 5: Solve for x
    x = 52,725,171.00/7,800
  6. Step 6: Final answer
    x = 6,759.64

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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.