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Finding the Fourth Proportional to 12,456.76, 17,187.28 and 7,078

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Solution

The fourth proportional to 12,456.76, 17,187.28 and 7,078 is: 9,765.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,456.76 : 17,187.28 = 7,078 : x
  2. Step 2: Convert to fraction form
    12,456.76/17,187.28 = 7,078/x
  3. Step 3: Cross multiply
    12,456.76x = 17,187.28 × 7,078
  4. Step 4: Simplify right side
    12,456.76x = 121,651,567.84
  5. Step 5: Solve for x
    x = 121,651,567.84/12,456.76
  6. Step 6: Final answer
    x = 9,765.91

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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.