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Finding the Fourth Proportional to 22,693.60, 31,316.88 and 12,622

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Solution

The fourth proportional to 22,693.60, 31,316.88 and 12,622 is: 17,418.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,693.60 : 31,316.88 = 12,622 : x
  2. Step 2: Convert to fraction form
    22,693.60/31,316.88 = 12,622/x
  3. Step 3: Cross multiply
    22,693.60x = 31,316.88 × 12,622
  4. Step 4: Simplify right side
    22,693.60x = 395,281,659.36
  5. Step 5: Solve for x
    x = 395,281,659.36/22,693.60
  6. Step 6: Final answer
    x = 17,418.20

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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.