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Finding the Fourth Proportional to 1,814.65, 2,715.17 and 1,519.00

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Solution

The fourth proportional to 1,814.65, 2,715.17 and 1,519.00 is: 2,272.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,814.65 : 2,715.17 = 1,519.00 : x
  2. Step 2: Convert to fraction form
    1,814.65/2,715.17 = 1,519.00/x
  3. Step 3: Cross multiply
    1,814.65x = 2,715.17 × 1,519.00
  4. Step 4: Simplify right side
    1,814.65x = 4,124,352.66
  5. Step 5: Solve for x
    x = 4,124,352.66/1,814.65
  6. Step 6: Final answer
    x = 2,272.80

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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.