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Finding the Fourth Proportional to 1,920, 2,880.68 and 946.79

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Solution

The fourth proportional to 1,920, 2,880.68 and 946.79 is: 1,420.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,920 : 2,880.68 = 946.79 : x
  2. Step 2: Convert to fraction form
    1,920/2,880.68 = 946.79/x
  3. Step 3: Cross multiply
    1,920x = 2,880.68 × 946.79
  4. Step 4: Simplify right side
    1,920x = 2,727,379.88
  5. Step 5: Solve for x
    x = 2,727,379.88/1,920
  6. Step 6: Final answer
    x = 1,420.51

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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.