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Finding the Fourth Proportional to 2,930.42, 4,384.49 and 1,800.65

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Solution

The fourth proportional to 2,930.42, 4,384.49 and 1,800.65 is: 2,694.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.42 : 4,384.49 = 1,800.65 : x
  2. Step 2: Convert to fraction form
    2,930.42/4,384.49 = 1,800.65/x
  3. Step 3: Cross multiply
    2,930.42x = 4,384.49 × 1,800.65
  4. Step 4: Simplify right side
    2,930.42x = 7,894,900.99
  5. Step 5: Solve for x
    x = 7,894,900.99/2,930.42
  6. Step 6: Final answer
    x = 2,694.12

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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.