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Finding the Fourth Proportional to 8,576.90, 11,835.99 and 4,800

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Solution

The fourth proportional to 8,576.90, 11,835.99 and 4,800 is: 6,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,576.90 : 11,835.99 = 4,800 : x
  2. Step 2: Convert to fraction form
    8,576.90/11,835.99 = 4,800/x
  3. Step 3: Cross multiply
    8,576.90x = 11,835.99 × 4,800
  4. Step 4: Simplify right side
    8,576.90x = 56,812,752
  5. Step 5: Solve for x
    x = 56,812,752/8,576.90
  6. Step 6: Final answer
    x = 6,623.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.