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Finding the Fourth Proportional to 22,566, 31,141.08 and 12,630

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Solution

The fourth proportional to 22,566, 31,141.08 and 12,630 is: 17,429.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,566 : 31,141.08 = 12,630 : x
  2. Step 2: Convert to fraction form
    22,566/31,141.08 = 12,630/x
  3. Step 3: Cross multiply
    22,566x = 31,141.08 × 12,630
  4. Step 4: Simplify right side
    22,566x = 393,311,840.40
  5. Step 5: Solve for x
    x = 393,311,840.40/22,566
  6. Step 6: Final answer
    x = 17,429.40

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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.