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Finding the Fourth Proportional to 2,005.74, 3,009.08 and 619.22

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Solution

The fourth proportional to 2,005.74, 3,009.08 and 619.22 is: 928.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,005.74 : 3,009.08 = 619.22 : x
  2. Step 2: Convert to fraction form
    2,005.74/3,009.08 = 619.22/x
  3. Step 3: Cross multiply
    2,005.74x = 3,009.08 × 619.22
  4. Step 4: Simplify right side
    2,005.74x = 1,863,291.59
  5. Step 5: Solve for x
    x = 1,863,291.59/2,005.74
  6. Step 6: Final answer
    x = 928.98

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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.