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Finding the Fourth Proportional to 1,421.65, 1,961.81 and 792.20

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Solution

The fourth proportional to 1,421.65, 1,961.81 and 792.20 is: 1,093.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,421.65 : 1,961.81 = 792.20 : x
  2. Step 2: Convert to fraction form
    1,421.65/1,961.81 = 792.20/x
  3. Step 3: Cross multiply
    1,421.65x = 1,961.81 × 792.20
  4. Step 4: Simplify right side
    1,421.65x = 1,554,154.25
  5. Step 5: Solve for x
    x = 1,554,154.25/1,421.65
  6. Step 6: Final answer
    x = 1,093.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.