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Finding the Fourth Proportional to 1,920.80, 2,881.26 and 1,614.62

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Solution

The fourth proportional to 1,920.80, 2,881.26 and 1,614.62 is: 2,421.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920.80 : 2,881.26 = 1,614.62 : x
  2. Step 2: Convert to fraction form
    1,920.80/2,881.26 = 1,614.62/x
  3. Step 3: Cross multiply
    1,920.80x = 2,881.26 × 1,614.62
  4. Step 4: Simplify right side
    1,920.80x = 4,652,125.61
  5. Step 5: Solve for x
    x = 4,652,125.61/1,920.80
  6. Step 6: Final answer
    x = 2,421.98

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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.