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Finding the Fourth Proportional to 11,571, 17,379.80 and 6,900.14

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Solution

The fourth proportional to 11,571, 17,379.80 and 6,900.14 is: 10,364.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,571 : 17,379.80 = 6,900.14 : x
  2. Step 2: Convert to fraction form
    11,571/17,379.80 = 6,900.14/x
  3. Step 3: Cross multiply
    11,571x = 17,379.80 × 6,900.14
  4. Step 4: Simplify right side
    11,571x = 119,922,931.77
  5. Step 5: Solve for x
    x = 119,922,931.77/11,571
  6. Step 6: Final answer
    x = 10,364.09

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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.