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Finding the Fourth Proportional to 13,294.80, 19,969.56 and 12,852

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Solution

The fourth proportional to 13,294.80, 19,969.56 and 12,852 is: 19,304.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,294.80 : 19,969.56 = 12,852 : x
  2. Step 2: Convert to fraction form
    13,294.80/19,969.56 = 12,852/x
  3. Step 3: Cross multiply
    13,294.80x = 19,969.56 × 12,852
  4. Step 4: Simplify right side
    13,294.80x = 256,648,785.12
  5. Step 5: Solve for x
    x = 256,648,785.12/13,294.80
  6. Step 6: Final answer
    x = 19,304.45

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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.