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Finding the Fourth Proportional to 12,863.26, 17,752.88 and 7,828.00

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Solution

The fourth proportional to 12,863.26, 17,752.88 and 7,828.00 is: 10,803.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,863.26 : 17,752.88 = 7,828.00 : x
  2. Step 2: Convert to fraction form
    12,863.26/17,752.88 = 7,828.00/x
  3. Step 3: Cross multiply
    12,863.26x = 17,752.88 × 7,828.00
  4. Step 4: Simplify right side
    12,863.26x = 138,969,455.88
  5. Step 5: Solve for x
    x = 138,969,455.88/12,863.26
  6. Step 6: Final answer
    x = 10,803.60

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Why These Related Problems?

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