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Finding the Fourth Proportional to 7,957.80, 11,937.20 and 2,114.40

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Solution

The fourth proportional to 7,957.80, 11,937.20 and 2,114.40 is: 3,171.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,957.80 : 11,937.20 = 2,114.40 : x
  2. Step 2: Convert to fraction form
    7,957.80/11,937.20 = 2,114.40/x
  3. Step 3: Cross multiply
    7,957.80x = 11,937.20 × 2,114.40
  4. Step 4: Simplify right side
    7,957.80x = 25,240,015.68
  5. Step 5: Solve for x
    x = 25,240,015.68/7,957.80
  6. Step 6: Final answer
    x = 3,171.73

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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.