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Finding the Fourth Proportional to 10,413.63, 15,578.98 and 9,043.11

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Solution

The fourth proportional to 10,413.63, 15,578.98 and 9,043.11 is: 13,528.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,413.63 : 15,578.98 = 9,043.11 : x
  2. Step 2: Convert to fraction form
    10,413.63/15,578.98 = 9,043.11/x
  3. Step 3: Cross multiply
    10,413.63x = 15,578.98 × 9,043.11
  4. Step 4: Simplify right side
    10,413.63x = 140,882,407.22
  5. Step 5: Solve for x
    x = 140,882,407.22/10,413.63
  6. Step 6: Final answer
    x = 13,528.65

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