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Finding the Fourth Proportional to 5,306.47, 7,960.11 and 1,609.01

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Solution

The fourth proportional to 5,306.47, 7,960.11 and 1,609.01 is: 2,413.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,306.47 : 7,960.11 = 1,609.01 : x
  2. Step 2: Convert to fraction form
    5,306.47/7,960.11 = 1,609.01/x
  3. Step 3: Cross multiply
    5,306.47x = 7,960.11 × 1,609.01
  4. Step 4: Simplify right side
    5,306.47x = 12,807,856.79
  5. Step 5: Solve for x
    x = 12,807,856.79/5,306.47
  6. Step 6: Final answer
    x = 2,413.63

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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.