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Finding the Fourth Proportional to 11,419.65, 17,115.84 and 5,875.65

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Solution

The fourth proportional to 11,419.65, 17,115.84 and 5,875.65 is: 8,806.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,419.65 : 17,115.84 = 5,875.65 : x
  2. Step 2: Convert to fraction form
    11,419.65/17,115.84 = 5,875.65/x
  3. Step 3: Cross multiply
    11,419.65x = 17,115.84 × 5,875.65
  4. Step 4: Simplify right side
    11,419.65x = 100,566,685.30
  5. Step 5: Solve for x
    x = 100,566,685.30/11,419.65
  6. Step 6: Final answer
    x = 8,806.46

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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.