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Finding the Fourth Proportional to 4,941.81, 7,413.10 and 1,431.87

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Solution

The fourth proportional to 4,941.81, 7,413.10 and 1,431.87 is: 2,147.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,941.81 : 7,413.10 = 1,431.87 : x
  2. Step 2: Convert to fraction form
    4,941.81/7,413.10 = 1,431.87/x
  3. Step 3: Cross multiply
    4,941.81x = 7,413.10 × 1,431.87
  4. Step 4: Simplify right side
    4,941.81x = 10,614,595.50
  5. Step 5: Solve for x
    x = 10,614,595.50/4,941.81
  6. Step 6: Final answer
    x = 2,147.92

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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.