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Finding the Fourth Proportional to 12,920.67, 17,829.45 and 7,254.63

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Solution

The fourth proportional to 12,920.67, 17,829.45 and 7,254.63 is: 10,010.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,920.67 : 17,829.45 = 7,254.63 : x
  2. Step 2: Convert to fraction form
    12,920.67/17,829.45 = 7,254.63/x
  3. Step 3: Cross multiply
    12,920.67x = 17,829.45 × 7,254.63
  4. Step 4: Simplify right side
    12,920.67x = 129,346,062.85
  5. Step 5: Solve for x
    x = 129,346,062.85/12,920.67
  6. Step 6: Final answer
    x = 10,010.79

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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.