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Finding the Fourth Proportional to 1,992.18, 2,988.46 and 531.42

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Solution

The fourth proportional to 1,992.18, 2,988.46 and 531.42 is: 797.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.18 : 2,988.46 = 531.42 : x
  2. Step 2: Convert to fraction form
    1,992.18/2,988.46 = 531.42/x
  3. Step 3: Cross multiply
    1,992.18x = 2,988.46 × 531.42
  4. Step 4: Simplify right side
    1,992.18x = 1,588,127.41
  5. Step 5: Solve for x
    x = 1,588,127.41/1,992.18
  6. Step 6: Final answer
    x = 797.18

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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.