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Finding the Fourth Proportional to 10,605.95, 15,884.70 and 5,063.20

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Solution

The fourth proportional to 10,605.95, 15,884.70 and 5,063.20 is: 7,583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,605.95 : 15,884.70 = 5,063.20 : x
  2. Step 2: Convert to fraction form
    10,605.95/15,884.70 = 5,063.20/x
  3. Step 3: Cross multiply
    10,605.95x = 15,884.70 × 5,063.20
  4. Step 4: Simplify right side
    10,605.95x = 80,427,413.04
  5. Step 5: Solve for x
    x = 80,427,413.04/10,605.95
  6. Step 6: Final answer
    x = 7,583.24

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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.