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Finding the Fourth Proportional to 2,006.70, 3,010.38 and 619.99

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Solution

The fourth proportional to 2,006.70, 3,010.38 and 619.99 is: 930.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,006.70 : 3,010.38 = 619.99 : x
  2. Step 2: Convert to fraction form
    2,006.70/3,010.38 = 619.99/x
  3. Step 3: Cross multiply
    2,006.70x = 3,010.38 × 619.99
  4. Step 4: Simplify right side
    2,006.70x = 1,866,405.50
  5. Step 5: Solve for x
    x = 1,866,405.50/2,006.70
  6. Step 6: Final answer
    x = 930.09

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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.