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Finding the Fourth Proportional to 22,658.91, 31,268.41 and 12,588

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Solution

The fourth proportional to 22,658.91, 31,268.41 and 12,588 is: 17,370.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.91 : 31,268.41 = 12,588 : x
  2. Step 2: Convert to fraction form
    22,658.91/31,268.41 = 12,588/x
  3. Step 3: Cross multiply
    22,658.91x = 31,268.41 × 12,588
  4. Step 4: Simplify right side
    22,658.91x = 393,606,745.08
  5. Step 5: Solve for x
    x = 393,606,745.08/22,658.91
  6. Step 6: Final answer
    x = 17,370.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.