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Finding the Fourth Proportional to 1,815.91, 2,506.02 and 1,029.99

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Solution

The fourth proportional to 1,815.91, 2,506.02 and 1,029.99 is: 1,421.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,815.91 : 2,506.02 = 1,029.99 : x
  2. Step 2: Convert to fraction form
    1,815.91/2,506.02 = 1,029.99/x
  3. Step 3: Cross multiply
    1,815.91x = 2,506.02 × 1,029.99
  4. Step 4: Simplify right side
    1,815.91x = 2,581,170.39
  5. Step 5: Solve for x
    x = 2,581,170.39/1,815.91
  6. Step 6: Final answer
    x = 1,421.42

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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.