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Finding the Fourth Proportional to 2,673.29, 4,009.94 and 725.45

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Solution

The fourth proportional to 2,673.29, 4,009.94 and 725.45 is: 1,088.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,673.29 : 4,009.94 = 725.45 : x
  2. Step 2: Convert to fraction form
    2,673.29/4,009.94 = 725.45/x
  3. Step 3: Cross multiply
    2,673.29x = 4,009.94 × 725.45
  4. Step 4: Simplify right side
    2,673.29x = 2,908,987.30
  5. Step 5: Solve for x
    x = 2,908,987.30/2,673.29
  6. Step 6: Final answer
    x = 1,088.17

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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.