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Finding the Fourth Proportional to 23,515.69, 32,452.21 and 12,905.31

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Solution

The fourth proportional to 23,515.69, 32,452.21 and 12,905.31 is: 17,809.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,515.69 : 32,452.21 = 12,905.31 : x
  2. Step 2: Convert to fraction form
    23,515.69/32,452.21 = 12,905.31/x
  3. Step 3: Cross multiply
    23,515.69x = 32,452.21 × 12,905.31
  4. Step 4: Simplify right side
    23,515.69x = 418,805,830.24
  5. Step 5: Solve for x
    x = 418,805,830.24/23,515.69
  6. Step 6: Final answer
    x = 17,809.63

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