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Finding the Fourth Proportional to 7,419.65, 11,127.65 and 2,154.65

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Solution

The fourth proportional to 7,419.65, 11,127.65 and 2,154.65 is: 3,231.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419.65 : 11,127.65 = 2,154.65 : x
  2. Step 2: Convert to fraction form
    7,419.65/11,127.65 = 2,154.65/x
  3. Step 3: Cross multiply
    7,419.65x = 11,127.65 × 2,154.65
  4. Step 4: Simplify right side
    7,419.65x = 23,976,124.66
  5. Step 5: Solve for x
    x = 23,976,124.66/7,419.65
  6. Step 6: Final answer
    x = 3,231.44

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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.