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Finding the Fourth Proportional to 7,114.63, 10,671.67 and 1,920.64

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Solution

The fourth proportional to 7,114.63, 10,671.67 and 1,920.64 is: 2,880.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.63 : 10,671.67 = 1,920.64 : x
  2. Step 2: Convert to fraction form
    7,114.63/10,671.67 = 1,920.64/x
  3. Step 3: Cross multiply
    7,114.63x = 10,671.67 × 1,920.64
  4. Step 4: Simplify right side
    7,114.63x = 20,496,436.27
  5. Step 5: Solve for x
    x = 20,496,436.27/7,114.63
  6. Step 6: Final answer
    x = 2,880.89

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1.5x scale

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.