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Finding the Fourth Proportional to 13,042, 19,563 and 5,256.28

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Solution

The fourth proportional to 13,042, 19,563 and 5,256.28 is: 7,884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,042 : 19,563 = 5,256.28 : x
  2. Step 2: Convert to fraction form
    13,042/19,563 = 5,256.28/x
  3. Step 3: Cross multiply
    13,042x = 19,563 × 5,256.28
  4. Step 4: Simplify right side
    13,042x = 102,828,605.64
  5. Step 5: Solve for x
    x = 102,828,605.64/13,042
  6. Step 6: Final answer
    x = 7,884.42

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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.