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Finding the Fourth Proportional to 2,005.97, 3,009.23 and 619.41

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Solution

The fourth proportional to 2,005.97, 3,009.23 and 619.41 is: 929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.97 : 3,009.23 = 619.41 : x
  2. Step 2: Convert to fraction form
    2,005.97/3,009.23 = 619.41/x
  3. Step 3: Cross multiply
    2,005.97x = 3,009.23 × 619.41
  4. Step 4: Simplify right side
    2,005.97x = 1,863,944.06
  5. Step 5: Solve for x
    x = 1,863,944.06/2,005.97
  6. Step 6: Final answer
    x = 929.20

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1.5x scale

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.