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Finding the Fourth Proportional to 19,744.64, 29,625.16 and 8,645.60

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Solution

The fourth proportional to 19,744.64, 29,625.16 and 8,645.60 is: 12,971.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,744.64 : 29,625.16 = 8,645.60 : x
  2. Step 2: Convert to fraction form
    19,744.64/29,625.16 = 8,645.60/x
  3. Step 3: Cross multiply
    19,744.64x = 29,625.16 × 8,645.60
  4. Step 4: Simplify right side
    19,744.64x = 256,127,283.30
  5. Step 5: Solve for x
    x = 256,127,283.30/19,744.64
  6. Step 6: Final answer
    x = 12,971.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.