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Finding the Fourth Proportional to 7,114.53, 10,671.39 and 1,920

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Solution

The fourth proportional to 7,114.53, 10,671.39 and 1,920 is: 2,879.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.53 : 10,671.39 = 1,920 : x
  2. Step 2: Convert to fraction form
    7,114.53/10,671.39 = 1,920/x
  3. Step 3: Cross multiply
    7,114.53x = 10,671.39 × 1,920
  4. Step 4: Simplify right side
    7,114.53x = 20,489,068.80
  5. Step 5: Solve for x
    x = 20,489,068.80/7,114.53
  6. Step 6: Final answer
    x = 2,879.89

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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.