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Finding the Fourth Proportional to 22,920, 31,630.08 and 12,984

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Solution

The fourth proportional to 22,920, 31,630.08 and 12,984 is: 17,918.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,920 : 31,630.08 = 12,984 : x
  2. Step 2: Convert to fraction form
    22,920/31,630.08 = 12,984/x
  3. Step 3: Cross multiply
    22,920x = 31,630.08 × 12,984
  4. Step 4: Simplify right side
    22,920x = 410,684,958.72
  5. Step 5: Solve for x
    x = 410,684,958.72/22,920
  6. Step 6: Final answer
    x = 17,918.19

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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.