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Finding the Fourth Proportional to 1,992.65, 2,988.54 and 531.81

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Solution

The fourth proportional to 1,992.65, 2,988.54 and 531.81 is: 797.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.65 : 2,988.54 = 531.81 : x
  2. Step 2: Convert to fraction form
    1,992.65/2,988.54 = 531.81/x
  3. Step 3: Cross multiply
    1,992.65x = 2,988.54 × 531.81
  4. Step 4: Simplify right side
    1,992.65x = 1,589,335.46
  5. Step 5: Solve for x
    x = 1,589,335.46/1,992.65
  6. Step 6: Final answer
    x = 797.60

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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.