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Finding the Fourth Proportional to 11,948.40, 17,948.52 and 11,511

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Solution

The fourth proportional to 11,948.40, 17,948.52 and 11,511 is: 17,291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,948.40 : 17,948.52 = 11,511 : x
  2. Step 2: Convert to fraction form
    11,948.40/17,948.52 = 11,511/x
  3. Step 3: Cross multiply
    11,948.40x = 17,948.52 × 11,511
  4. Step 4: Simplify right side
    11,948.40x = 206,605,413.72
  5. Step 5: Solve for x
    x = 206,605,413.72/11,948.40
  6. Step 6: Final answer
    x = 17,291.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.