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Finding the Fourth Proportional to 13,021.52, 19,532.81 and 3,787.52

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Solution

The fourth proportional to 13,021.52, 19,532.81 and 3,787.52 is: 5,681.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,021.52 : 19,532.81 = 3,787.52 : x
  2. Step 2: Convert to fraction form
    13,021.52/19,532.81 = 3,787.52/x
  3. Step 3: Cross multiply
    13,021.52x = 19,532.81 × 3,787.52
  4. Step 4: Simplify right side
    13,021.52x = 73,980,820.34
  5. Step 5: Solve for x
    x = 73,980,820.34/13,021.52
  6. Step 6: Final answer
    x = 5,681.43

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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.