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Finding the Fourth Proportional to 1,992.96, 2,986.20 and 1,413

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Solution

The fourth proportional to 1,992.96, 2,986.20 and 1,413 is: 2,117.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,992.96 : 2,986.20 = 1,413 : x
  2. Step 2: Convert to fraction form
    1,992.96/2,986.20 = 1,413/x
  3. Step 3: Cross multiply
    1,992.96x = 2,986.20 × 1,413
  4. Step 4: Simplify right side
    1,992.96x = 4,219,500.60
  5. Step 5: Solve for x
    x = 4,219,500.60/1,992.96
  6. Step 6: Final answer
    x = 2,117.20

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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.