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Finding the Fourth Proportional to 13,218.56, 19,808 and 7,658.88

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Solution

The fourth proportional to 13,218.56, 19,808 and 7,658.88 is: 11,476.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,218.56 : 19,808 = 7,658.88 : x
  2. Step 2: Convert to fraction form
    13,218.56/19,808 = 7,658.88/x
  3. Step 3: Cross multiply
    13,218.56x = 19,808 × 7,658.88
  4. Step 4: Simplify right side
    13,218.56x = 151,707,095.04
  5. Step 5: Solve for x
    x = 151,707,095.04/13,218.56
  6. Step 6: Final answer
    x = 11,476.82

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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.