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Finding the Fourth Proportional to 7,967.60, 11,900.42 and 7,215.98

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Solution

The fourth proportional to 7,967.60, 11,900.42 and 7,215.98 is: 10,777.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,967.60 : 11,900.42 = 7,215.98 : x
  2. Step 2: Convert to fraction form
    7,967.60/11,900.42 = 7,215.98/x
  3. Step 3: Cross multiply
    7,967.60x = 11,900.42 × 7,215.98
  4. Step 4: Simplify right side
    7,967.60x = 85,873,240.50
  5. Step 5: Solve for x
    x = 85,873,240.50/7,967.60
  6. Step 6: Final answer
    x = 10,777.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.