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Finding the Fourth Proportional to 12,398.67, 17,102.61 and 7,359.48

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Solution

The fourth proportional to 12,398.67, 17,102.61 and 7,359.48 is: 10,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,398.67 : 17,102.61 = 7,359.48 : x
  2. Step 2: Convert to fraction form
    12,398.67/17,102.61 = 7,359.48/x
  3. Step 3: Cross multiply
    12,398.67x = 17,102.61 × 7,359.48
  4. Step 4: Simplify right side
    12,398.67x = 125,866,316.24
  5. Step 5: Solve for x
    x = 125,866,316.24/12,398.67
  6. Step 6: Final answer
    x = 10,151.60

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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.