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Finding the Fourth Proportional to 7,972.59, 11,980.74 and 7,519.69

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Solution

The fourth proportional to 7,972.59, 11,980.74 and 7,519.69 is: 11,300.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,972.59 : 11,980.74 = 7,519.69 : x
  2. Step 2: Convert to fraction form
    7,972.59/11,980.74 = 7,519.69/x
  3. Step 3: Cross multiply
    7,972.59x = 11,980.74 × 7,519.69
  4. Step 4: Simplify right side
    7,972.59x = 90,091,450.77
  5. Step 5: Solve for x
    x = 90,091,450.77/7,972.59
  6. Step 6: Final answer
    x = 11,300.15

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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.