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Finding the Fourth Proportional to 12,489.46, 18,733.44 and 7,557.78

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Solution

The fourth proportional to 12,489.46, 18,733.44 and 7,557.78 is: 11,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,489.46 : 18,733.44 = 7,557.78 : x
  2. Step 2: Convert to fraction form
    12,489.46/18,733.44 = 7,557.78/x
  3. Step 3: Cross multiply
    12,489.46x = 18,733.44 × 7,557.78
  4. Step 4: Simplify right side
    12,489.46x = 141,583,218.16
  5. Step 5: Solve for x
    x = 141,583,218.16/12,489.46
  6. Step 6: Final answer
    x = 11,336.22

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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.