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Finding the Fourth Proportional to 12,493.39, 17,237.86 and 7,774.33

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Solution

The fourth proportional to 12,493.39, 17,237.86 and 7,774.33 is: 10,726.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,493.39 : 17,237.86 = 7,774.33 : x
  2. Step 2: Convert to fraction form
    12,493.39/17,237.86 = 7,774.33/x
  3. Step 3: Cross multiply
    12,493.39x = 17,237.86 × 7,774.33
  4. Step 4: Simplify right side
    12,493.39x = 134,012,812.13
  5. Step 5: Solve for x
    x = 134,012,812.13/12,493.39
  6. Step 6: Final answer
    x = 10,726.70

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