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Finding the Fourth Proportional to 12,503.16, 17,256 and 7,198.20

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Solution

The fourth proportional to 12,503.16, 17,256 and 7,198.20 is: 9,934.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,503.16 : 17,256 = 7,198.20 : x
  2. Step 2: Convert to fraction form
    12,503.16/17,256 = 7,198.20/x
  3. Step 3: Cross multiply
    12,503.16x = 17,256 × 7,198.20
  4. Step 4: Simplify right side
    12,503.16x = 124,212,139.20
  5. Step 5: Solve for x
    x = 124,212,139.20/12,503.16
  6. Step 6: Final answer
    x = 9,934.46

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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.