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Finding the Fourth Proportional to 13,018, 19,523.95 and 3,658.91

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Solution

The fourth proportional to 13,018, 19,523.95 and 3,658.91 is: 5,487.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,018 : 19,523.95 = 3,658.91 : x
  2. Step 2: Convert to fraction form
    13,018/19,523.95 = 3,658.91/x
  3. Step 3: Cross multiply
    13,018x = 19,523.95 × 3,658.91
  4. Step 4: Simplify right side
    13,018x = 71,436,357.60
  5. Step 5: Solve for x
    x = 71,436,357.60/13,018
  6. Step 6: Final answer
    x = 5,487.51

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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.