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Finding the Fourth Proportional to 12,643.68, 18,956.16 and 6,063.60

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Solution

The fourth proportional to 12,643.68, 18,956.16 and 6,063.60 is: 9,090.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,643.68 : 18,956.16 = 6,063.60 : x
  2. Step 2: Convert to fraction form
    12,643.68/18,956.16 = 6,063.60/x
  3. Step 3: Cross multiply
    12,643.68x = 18,956.16 × 6,063.60
  4. Step 4: Simplify right side
    12,643.68x = 114,942,541.46
  5. Step 5: Solve for x
    x = 114,942,541.46/12,643.68
  6. Step 6: Final answer
    x = 9,090.91

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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.