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Finding the Fourth Proportional to 7,970.60, 11,973.18 and 7,679

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Solution

The fourth proportional to 7,970.60, 11,973.18 and 7,679 is: 11,535.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.60 : 11,973.18 = 7,679 : x
  2. Step 2: Convert to fraction form
    7,970.60/11,973.18 = 7,679/x
  3. Step 3: Cross multiply
    7,970.60x = 11,973.18 × 7,679
  4. Step 4: Simplify right side
    7,970.60x = 91,942,049.22
  5. Step 5: Solve for x
    x = 91,942,049.22/7,970.60
  6. Step 6: Final answer
    x = 11,535.15

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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.