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Finding the Fourth Proportional to 23,181, 31,989.44 and 12,570.40

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Solution

The fourth proportional to 23,181, 31,989.44 and 12,570.40 is: 17,346.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,181 : 31,989.44 = 12,570.40 : x
  2. Step 2: Convert to fraction form
    23,181/31,989.44 = 12,570.40/x
  3. Step 3: Cross multiply
    23,181x = 31,989.44 × 12,570.40
  4. Step 4: Simplify right side
    23,181x = 402,120,056.58
  5. Step 5: Solve for x
    x = 402,120,056.58/23,181
  6. Step 6: Final answer
    x = 17,346.97

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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.