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Finding the Fourth Proportional to 7,970.72, 11,956.84 and 2,127.68

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Solution

The fourth proportional to 7,970.72, 11,956.84 and 2,127.68 is: 3,191.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.72 : 11,956.84 = 2,127.68 : x
  2. Step 2: Convert to fraction form
    7,970.72/11,956.84 = 2,127.68/x
  3. Step 3: Cross multiply
    7,970.72x = 11,956.84 × 2,127.68
  4. Step 4: Simplify right side
    7,970.72x = 25,440,329.33
  5. Step 5: Solve for x
    x = 25,440,329.33/7,970.72
  6. Step 6: Final answer
    x = 3,191.72

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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.