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Finding the Fourth Proportional to 12,311.94, 18,438.31 and 7,030.95

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Solution

The fourth proportional to 12,311.94, 18,438.31 and 7,030.95 is: 10,529.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.94 : 18,438.31 = 7,030.95 : x
  2. Step 2: Convert to fraction form
    12,311.94/18,438.31 = 7,030.95/x
  3. Step 3: Cross multiply
    12,311.94x = 18,438.31 × 7,030.95
  4. Step 4: Simplify right side
    12,311.94x = 129,638,879.06
  5. Step 5: Solve for x
    x = 129,638,879.06/12,311.94
  6. Step 6: Final answer
    x = 10,529.53

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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.