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Finding the Fourth Proportional to 12,311.24, 16,990.74 and 7,343.24

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Solution

The fourth proportional to 12,311.24, 16,990.74 and 7,343.24 is: 10,134.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,311.24 : 16,990.74 = 7,343.24 : x
  2. Step 2: Convert to fraction form
    12,311.24/16,990.74 = 7,343.24/x
  3. Step 3: Cross multiply
    12,311.24x = 16,990.74 × 7,343.24
  4. Step 4: Simplify right side
    12,311.24x = 124,767,081.60
  5. Step 5: Solve for x
    x = 124,767,081.60/12,311.24
  6. Step 6: Final answer
    x = 10,134.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.