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Finding the Fourth Proportional to 12,311.49, 18,437.81 and 7,101.57

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Solution

The fourth proportional to 12,311.49, 18,437.81 and 7,101.57 is: 10,635.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.49 : 18,437.81 = 7,101.57 : x
  2. Step 2: Convert to fraction form
    12,311.49/18,437.81 = 7,101.57/x
  3. Step 3: Cross multiply
    12,311.49x = 18,437.81 × 7,101.57
  4. Step 4: Simplify right side
    12,311.49x = 130,937,362.85
  5. Step 5: Solve for x
    x = 130,937,362.85/12,311.49
  6. Step 6: Final answer
    x = 10,635.38

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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.