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Finding the Fourth Proportional to 11,267.80, 16,897.65 and 5,719.30

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Solution

The fourth proportional to 11,267.80, 16,897.65 and 5,719.30 is: 8,576.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,267.80 : 16,897.65 = 5,719.30 : x
  2. Step 2: Convert to fraction form
    11,267.80/16,897.65 = 5,719.30/x
  3. Step 3: Cross multiply
    11,267.80x = 16,897.65 × 5,719.30
  4. Step 4: Simplify right side
    11,267.80x = 96,642,729.65
  5. Step 5: Solve for x
    x = 96,642,729.65/11,267.80
  6. Step 6: Final answer
    x = 8,576.89

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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.