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Finding the Fourth Proportional to 12,658.95, 18,992.61 and 5,643.81

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Solution

The fourth proportional to 12,658.95, 18,992.61 and 5,643.81 is: 8,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,658.95 : 18,992.61 = 5,643.81 : x
  2. Step 2: Convert to fraction form
    12,658.95/18,992.61 = 5,643.81/x
  3. Step 3: Cross multiply
    12,658.95x = 18,992.61 × 5,643.81
  4. Step 4: Simplify right side
    12,658.95x = 107,190,682.24
  5. Step 5: Solve for x
    x = 107,190,682.24/12,658.95
  6. Step 6: Final answer
    x = 8,467.58

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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.